"I would be happy to listen to any other ideas you have about how to celebrate our team's achievement." Option b is correct.
By choosing this response, Otto shows openness and receptiveness to alternative suggestions from Lucy. It promotes a collaborative and inclusive work environment where team members' ideas are valued and considered. Otto's response also recognizes the importance of celebrating the team's achievement but acknowledges the budget constraints that prevent approving the specific proposal at this time.
This approach encourages creative thinking and engagement from Lucy and potentially other team members, allowing them to contribute ideas that may align better with the available budget. Otto's willingness to explore alternative ways of celebrating demonstrates effective leadership and maintains a positive team dynamic while ensuring responsible financial management. Option b is correct.
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--The complete question is, otto leads a team of workers at an advertising firm. recently, one of his subordinates, lucy, suggested that the team celebrate a major milestone by taking the afternoon off to go to a baseball game together at the company's expense. otto cannot approve this request, since the team's budget for entertainment is not enough to pay for everyone. what should otto say to lucy when he meets with her to discuss her proposal? multiple choice
a. if you'd thought about the outings we've already been on and how expensive baseball tickets are, you probably wouldn't have made this suggestion.
b. i would be happy to listen to any other ideas you have about how to celebrate our team's achievement.
c. thanks for the suggestion, but the answer is no.
d. once i decide on an alternate, less expensive way of celebrating, you'll be the first to know.
e. i like the baseball game idea, however it's just not possible right now.--
under perfect competition, the efficient level of output is produced because a. government regulates the output level that must be produced. b. firms can earn an economic profit in the long run. c. firms earn only a normal profit in the long run. d. price equals marginal cost.
Under perfect competition, the efficient level of output is produced because d. price equals marginal cost.
Why does the efficient level of output occur under perfect competition?In perfect competition, the efficient level of output is produced when price equals marginal cost. This condition ensures that resources are allocated in the most efficient manner and maximizes overall social welfare.
When price equals marginal cost, it means that the cost of producing an additional unit of output is equal to the price at which the product is sold. This equilibrium condition signals that firms are producing the optimal quantity of goods and services to satisfy consumer demand while minimizing production costs.
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Under perfect competition, the efficient level of output is produced because price equals marginal cost. Option D is correct
The concept of perfect competitionPrice is determined by the interaction of market forces, specifically the forces of supply and demand, in a market with perfect competition.
Every company in the market is a price taker, which means they have no control over the price and are forced to accept the going rate. When the market price and the marginal cost of production are identical, the output is at its most efficient level.
At this level, enterprises are producing goods and services in a way that optimizes social welfare while resources are allocated optimally. There is an incentive to expand output when the price is higher than the marginal cost, whereas there is an incentive to decrease production when the price is lower than the marginal cost. under order to produce at the level where the price matches the marginal cost under perfect competition to achieve efficiency.
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Assuming the theory of purchasing power parity holds, what is the exchange rate between the United States and Mexico if the price of an identical avocado costs $2 in the United States and 40 pesos in Mexico?
A. 40.00 pesos per dollar
B. 20.00 pesos per dollar
C. 2.00 pesos per dollar
D. 0.05 pesos per dollar
E. 32.50 pesos per dollar
Option B: The exchange rate between the United States and Mexico is 20 pesos/dollar.
Purchasing power parity (PPP) states that exchange rates among currencies are in equilibrium when their purchasing power is the same in each of the two countries. Therefore, assuming PPP holds, the exchange rate between the United States and Mexico if the price of an identical avocado costs $2 in the United States and 40 pesos in Mexico is option B. 20.00 pesos per dollar.
How to solve for the exchange rate:
Since PPP holds:
Price in USD/Exchange Rate = Price in MXN/Exchange Rate2/Exchange Rate
= 40Exchange Rate
= 40/2Exchange Rate
= 20 pesos/dollar
Thus, the exchange rate between the United States and Mexico is 20 pesos/dollar.
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Catena's Marketing Company has the following adjusted trial balance at December 31, 2021. No dividends were declared. However, 460 shares issued at the end of the year for $4,600 are included below: D
CATENA'S MARKETING COMPANY - Statement of Financial Position-The statement of financial position, also known as the balance sheet, presents the financial position of the company at a specific point in time, in this case, December 31, 2021. The assets are classified into current assets (expected to be converted into cash within one year) and non-current assets (expected to provide future economic benefits beyond one year)
On December 31, 2021
Assets:
Current Assets:
Cash: $3,100
Accounts receivable: $3,800
Interest receivable: $260
Prepaid insurance: $3,200
Total Current Assets: $10,360
Non-Current Assets:
Notes receivable (long-term): $4,400
Equipment: $17,690
Less: Accumulated depreciation: $2,960
Net Equipment: $14,730
Total Non-Current Assets: $19,130
Total Assets: $29,490
Liabilities and Equity:
Current Liabilities:
Accounts payable: $4,600
Accrued expenses payable: $4,000
Income taxes payable: $4,720
Total Current Liabilities: $13,320
Non-Current Liabilities:
Deferred rent revenue: $3,500
Total Non-Current Liabilities: $3,500
Total Liabilities: $16,820
Equity:
Contributed capital (920 shares): $1,300
Retained earnings: $5,300
Total Equity: $6,600
Total Liabilities and Equity: $29,490
Note: . The liabilities are classified into current liabilities (expected to be settled within one year) and non-current liabilities (expected to be settled beyond one year). The equity represents the ownership interest of the shareholders in the company.
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Use the 5% significant level to test the claim that there is no association between Gender and sport preference. Sport Preference Archery Boxing Cycling Female 35 15 50 100 Gender Male 10 30 60 100 45 45 110 200
At 5% significant level using Chi-Square goodness-of-fit test it can be concluded that there is sufficient evidence to suggest that there is an association between gender and sport preference.
To test the claim that there is no association between gender and sport preference, the Chi-Square goodness-of-fit test can be used. The following steps can be taken to solve this problem:
1: State the null and alternative hypotheses
H0: There is no association between gender and sport preference
Ha: There is an association between gender and sport preference
2: Define the significance level
The significance level is 5%, which means α = 0.05
3: Create an observed frequency table
The observed frequency table for the data is as follows:
Sport Preference Archery Boxing Cycling
Female 35 15 50 Gender
Male 10 30 60
Total 45 45 110
The total frequency count for all sport preferences is 200.
4: Calculate the expected frequency table
To calculate the expected frequency, multiply the row total and column total, and then divide by the grand total. For example, the expected frequency for Archery and female would be (45 × 110) / 200 = 24.75. The expected frequency table is as follows:
Sport Preference Archery Boxing Cycling
Female 24.75 22.5 52.75
Male 20.25 22.5 52.25
Total 45 45 110
5: The Chi-Square test statistic formula for goodness-of-fit test is:
X2 = Σ [ (O - E)2 / E ] where O = Observed frequency and E = Expected frequency
The calculated Chi-Square test statistic is: X2 = [ (35 - 24.75)2 / 24.75 ] + [ (15 - 22.5)2 / 22.5 ] + [ (50 - 52.75)2 / 52.75 ] + [ (10 - 20.25)2 / 20.25 ] + [ (30 - 22.5)2 / 22.5 ] + [ (60 - 52.25)2 / 52.25 ] X2 = 6.1811
6: The degrees of freedom is equal to (number of rows - 1) x (number of columns - 1). In this case, it is (2 - 1) x (3 - 1) = 2.
7: The critical value for the Chi-Square test with 2 degrees of freedom and a 5% significance level is 5.991.
8: Compare the calculated test statistic and the critical value. Since the calculated test statistic (6.1811) is greater than the critical value (5.991), we reject the null hypothesis (H0) and conclude that there is sufficient evidence to suggest that there is an association between gender and sport preference. Hence, the alternative hypothesis (Ha) is supported.
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which of the following transactions would be recorded as a credit in the current account? which of the following transactions would be recorded as a credit in the current account? the u.s. sells wheat to mexico. a u.s. company pays dividends on its stock. some of the dividends go to foreign owners of the stock. a person living in the united states sends money home to her family in cuba. a u.s. citizen purchases goods from ireland.
Among the given transactions, the transaction which would be recorded as a credit in the current account is "a U.S. citizen purchases goods from Ireland."What is a current account?A current account is a balance of trade between two nations that comprises goods, services, and investments.
It records a nation's international trade transactions, such as imports and exports of goods and services, as well as financial transactions and transfers. It measures the inflow and outflow of funds from a country. It is a vital component of the balance of payments, which also includes the capital account.
Transaction recorded as credit in current account:A current account shows transactions that increase or decrease a country's net income. The purchase of goods and services from a foreign nation by a domestic firm or individual is considered an import in the current account and is usually recorded as a debit.
When a domestic firm or individual purchases goods or services from a foreign nation, the payment is recorded as a credit. Therefore, a U.S. citizen's purchase of goods from Ireland would be recorded as a credit in the current account.
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"Defining development as capability expansion, freedom, or the expansion of choice makes us better able to define development by what is accomplished but, clearly, something is lost and something is gained in the process." Expand this statement, making sure to provide examples.
Defining development as capability expansion, freedom or expansion of choice is a broad idea that makes us better able to define development by what is accomplished, but this idea comes with losses and gains in the process. This statement means that to define development, we should look beyond just increasing income, GDP, and employment and also take into consideration other aspects that contribute to development such as health, education, and social capital. Capability expansion refers to expanding the ability of individuals to achieve their desired goals.
For example, expanding the ability of women to participate in decision-making processes by providing them with opportunities for education and training. Freedom refers to having the ability to make choices and take actions without interference from external forces. For example, a government that allows its citizens the freedom to choose their religion, access information, and criticize the government without fear of retribution is more developed. Expansion of choice means providing individuals with more options.
For example, access to a wide variety of health care options is a form of choice expansion because individuals can choose the type of health care that best suits their needs. The downside of defining development in this manner is that it is subjective and can be difficult to measure. For example, it is challenging to measure social capital, which refers to the networks of relationships that exist between individuals and organizations. In conclusion, defining development as capability expansion, freedom, or the expansion of choice is a useful way of looking beyond traditional economic indicators to gain a better understanding of what constitutes development. However, the subjective nature of this definition can make it challenging to measure and may result in losses and gains in the process.
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Varto Company has 12,200 units of its product in inventory that it produced last year at a cost of $158.000.This year's model is better than last year's,and the 12,200 units cannot be sold at last year's normal selling price of $48 each.Varto has two alternatives for these units:1 They can be sold as is to a wholesaler for$158.600 or2) they can be processed further at an additional cost of $214.700 and then sold for $366.000. (a) Prepare a sell as is or process further analysis of income effects (b) Should Varto sell the products as is or process further and then sell them? Answer ls complete but not entirely correct. (a)Sellor Procass Analysis Sell AsIs Process Further S 158.600$ 366,000 158.000 372,700 S 600 S (6,700) Revenue Costs Income Incremental income (loss)to sell as is S 7,300 (b)The company should Sell as is
Sell as is or process further analysis of income effects: Revenue $158,600, Costs $158,000, Income $600. Process Further: Revenue $366,000, Costs $372,700, Loss ($6,700). Varto Company should sell the products as is.
(a) Sell as is or process further analysis of income effects:
Sell As Is:
Revenue: $158,600
Costs: $158,000
Income: $600
Process Further:
Revenue: $366,000
Costs: $158,000 + $214,700 = $372,700
Income: ($6,700) (Loss)
Incremental income (loss) to sell as is: $7,300
(b) Based on the analysis, the company should sell the products as is. Selling the products as is would result in a positive incremental income of $7,300, whereas processing them further would lead to a loss of $6,700.
Therefore, it would be more financially beneficial for Varto Company to sell the products as is rather than incurring additional costs to process them further.
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which of the following is not an element of inventory holding costs? question 14 options: capital cost investment cost theft/ pilferage unit cost obsolescence cost
Unit cost is not an element of inventory holding costs.
The costs related to storing and maintaining inventory are referred to as inventory holding costs. The profitability of a business may be significantly impacted by these expenses. The capital cost (or carrying cost), investment cost, theft/pilferage cost and obsolescence cost are the main components of inventory holding costs.
The opportunity cost of investing money elsewhere instead of tying it up in inventory is known as capital cost. The cost of investment includes costs for producing, buying, and shipping inventory. Losses incurred as a result of theft or unauthorized access to inventory are referred to as theft/pilferage costs. The cost of obsolescence includes the depreciation or loss of value of inventory as a result of advancements in technology, shifting consumer tastes or expiration.
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maximize 6x₁ + 8x2 + 5x3+9x4 subject to x₁ + x₂ + x3 + x₁ = 1 X1, X2, x3, x4 ≥ 0. list all basic sets. basic feasible solutions. the simplex algorithm). find and (do not use Check the value of the objective all basic feasible solutions. at the problem. to all function solve
The given linear programming problem is to maximize 6x1 + 8x2 + 5x3+9x4 subject to the following constraints:x1 + x2 + x3 + x4 = 1x1, x2, x3, x4 ≥ 0.
Now, let us determine the basic sets:Basic sets are the sets of variables which have non-zero values at a particular point on the feasible region of the linear programming problem . Basic sets for the given problem are as follows: 1. {x1, x2, x3} 2. {x1, x2, x4} 3. {x1, x3, x4} 4. {x2, x3, x4} Basic feasible solutions are the feasible solutions for the problem that contain exactly m (number of constraints) non-zero variables.
Basic feasible solutions for the given problem are as follows:
1. {1, 0, 0, 0}
2. {0, 1, 0, 0}
3. {0, 0, 1, 0}
4. {0, 0, 0, 1}
5. {1/2, 1/2, 0, 0}
6. {1/2, 0, 1/2, 0}
7. {1/2, 0, 0, 1/2}
8. {0, 1/2, 1/2, 0}
9. {0, 1/2, 0, 1/2}
10. {0, 0, 1/2, 1/2}
Using the simplex algorithm: We write the problem in standard form as follows: Maximize Z = 6x1 + 8x2 + 5x3+9x4.
Subject to x1 + x2 + x3 + x4 = 1x1, x2, x3, x4 ≥ 0. Now we write this problem in tableau form as follows:x1 x2 x3 x4 RHS 1 1 1 1 1 6 8 5 9 0 1 0 0 0 1/2 0.5 0 0 0 1/2 0 1/2 0 0 0 0 1/2 0 1/2 0 0 0 0 1/2 1/2 0 0 0 1/2 0 0 1/2 0 0 0 1/2 0The most negative number in the last row is -9. Therefore, pivot column is x4.
The minimum ratio is given by the ratio of the right hand side value to the corresponding pivot element. The pivot row is the row corresponding to the minimum ratio which is 7. Therefore, we replace x4 by x1 + x2 + x3. The new tableau is as follows: x1 x2 x3 x4 RHS 1 1 1 1 1 6 8 5 9 0 1 0 0 1 1/2 0.5 0 0 0 1/2 0 1/2 0 0 0 0 1/2 0 1/2 0 0 0 0 1/2 1/2 0 0 0 1/2 0 0 1/2 0 0 0 1/2 0.
Now, the most negative number in the last row is -6. Therefore, the pivot column is x2. The minimum ratio is 1/2. Therefore, the pivot row is 8. Thus, we replace x2 by x2 - 1/2(x1 + x3). The new tableau is as follows:x1 x2 x3 x4 RHS 1 0 1 1 1/2 7 0 3 0 1/2 -2 0 2 1 -3 0 -1 1 1/2 -1 0 1 0 1/2 -1 0 0 0 -1/2 0 0 0 1/2 1/2 0 0 0 1/2 0 0 1/2 0 0 0 1/2 0.
Thus, the optimal solution for the given problem is x1 = 1/2, x2 = 0, x3 = 1/2 and x4 = 0. The maximum value of Z is 11.5.
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On January 1, 2020, Canadian Co. acquired a 70 percent interest
in a Swiss company, for SF500,000. On that date, the exchange rate
was SF1 = C$1.07. Swiss Co is an integrated foreign operation
(i.e.,
On January 1, 2020, Canadian Co. acquired a 70 percent interest in a Swiss company, for SF500,000. On that date, the exchange rate was SF1 = C$1.07. Swiss Co is an integrated foreign operation (i.e., a subsidiary that maintains its accounting records in Swiss francs, which are its functional currency).
During 2020, Swiss Co reported a net income of SF80,000 and declared dividends of SF20,000 on July 1 and December 31. The exchange rates during 2020 were:Average for the year SF1 = C$1.05December 31, 2020 SF1 = C$1.02Prepare the journal entries that Canadian Co. should make in 2020, and provide the appropriate translation adjustments and gain or loss accounts required by IFRS. Assume that Canadian Co. applies the cost method and that it uses the temporal method to translate Swiss Co.’s financial statements to Canadian dollars.Under the cost method, the investment is initially recorded at cost (SF500,000 × C$1.07 = C$535,000).
Any dividends received are recorded as dividend income. At year-end, the investment’s carrying amount is compared with its fair value, and any impairment is recognized under IFRS. In this case, the investment’s carrying amount (in Swiss francs) is SF350,000 (70 percent × SF500,000) plus the dividends of SF20,000 received during the year, or SF370,000. The investment’s fair value (in Canadian dollars) at December 31, 2020, is SF350,000 × C$1.02 = C$357,000.
The temporal method is used to translate Swiss Co.’s financial statements because the Canadian dollar is the functional currency of Canadian Co. under IFRS. Under this method, monetary assets and liabilities are translated at the current exchange rate (SF1 = C$1.02), while nonmonetary assets and liabilities are translated at historical exchange rates. Revenues, expenses, gains, and losses are translated at the exchange rate in effect at the time they are recognized. The translation gains or losses are recorded in a cumulative translation adjustment (CTA) account, a separate component of other comprehensive income. In this case, translation gains or losses result from translating Swiss Co.’s financial statements from Swiss francs to Canadian dollars.On January 1, 2020, the investment in Swiss Co. is recorded at cost: Dr. Investment in Swiss Co. (at cost) C$535,000 Cr. Cash (C$535,000)During 2020, dividend income is recorded: Dr. Dividend income (C$28,000) Cr.
Investment in Swiss Co. (at cost) (C$28,000)At December 31, 2020,
Swiss Co.’s financial statements are translated to Canadian dollars as follows: Balance Sheet (December 31, 2020) Income Statement (for year ended December 31, 2020) (SF) (C$) (SF) (C$) Cash 105,000 102,900 Revenues 140,000 134,400 Accounts receivable 40,000 38,800 Cost of sales (80,000) (76,800) Inventory 100,000 97,800.
Gross profit 60,000 57,600 Property, plant, and equipment (net) 700,000 679,000 Selling and administrative expenses (20,000) (19,200) Total assets 945,000 916,100 Income before taxes 40,000 38,400 Accounts payable 65,000 63,100 Income tax expense (20,000) (19,200) Dividends declared (20,000) (19,400).
Total liabilities 85,000 82,700 Net income 20,000 19,200 Common shares 450,000 436,500 Retained earnings 410,000 397,900 Total equity 860,000 834,400 Total liabilities and equity 945,000 916,100At December 31, 2020,
the investment in Swiss Co. is adjusted to fair value: Dr. Investment in Swiss Co. (at cost) (C$370,000) Dr. Unrealized gain on investment in Swiss Co. (C$13,000) Cr. Gain on investment in Swiss Co. (C$13,000) Cr. Investment in Swiss Co. (at fair value) (C$357,000)Unrealized gain on investment in Swiss Co. (CTA) is recorded in accumulated other comprehensive income: Dr. Unrealized gain on investment in Swiss Co. (CTA) (C$13,000) Cr. Accumulated other comprehensive income (C$13,000).
Under IFRS, investment in is initially recorded at cost and subsequently adjusted to fair value under the cost or equity method. Under the poral method of translation, monetary assets and liabilities are translated at the current exchange rate, while nonmonetary assets and liabilities are translated at historical exchange rates. Revenues, expenses, gains, and losses are translated at the exchange rate in effect at the time they are recognized. The translation gains or losses are recorded in a cumulative translation adjustment (CTA) account, a separate component of other comprehensive income.
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i
want clear explanation of about 250 words
Please discuss what happens to profits in the long run and what
occurs when economic profits exist in monopolistic competition?
In a competitive market, the entry of new firms or new competition is a process that occurs in the long run. As new firms enter the market, the level of competition increases, leading to a decrease in profits for existing firms. This process reflects the underlying principle of market dynamics: the forces of supply and demand at work.
Initially, when a market has a limited number of firms, each firm may have some degree of market power, allowing them to set prices and earn above-normal profits. However, the entry of new firms disrupts this equilibrium. The increased number of competitors intensifies the rivalry, leading to price reductions as firms vie for market share.
As prices decline due to heightened competition, existing firms are compelled to lower their prices to remain competitive. This results in narrower profit margins for these firms. Lower prices benefit consumers as they have access to more affordable products or services. However, for firms, the reduced profit margins may pose challenges in sustaining their operations and achieving substantial profits.
The market's transition towards perfect competition occurs as the number of firms continues to increase, and barriers to entry or exit become minimal. In a perfectly competitive market, no single firm has the power to influence prices or quantities. The products offered by different firms are homogeneous, meaning they are essentially identical, eliminating any differentiation-based competitive advantages.
In this competitive landscape, firms earn only normal profits, which means they earn just enough to cover their opportunity costs and inputs. Any economic profits earned initially attract new entrants, as they see an opportunity for profitability. With the entry of new firms, the supply of goods or services increases, driving prices down until profits are no longer above normal.
Overall, the entry of new firms or new competition in the long run reflects the self-correcting nature of competitive markets. It ensures that prices align with costs and that firms operate at a level where economic profits are eliminated. This process ultimately benefits consumers through increased affordability and choice while fostering an environment of fair competition.
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While running knn, generally speaking, the larger the k is, the more accurate the results would be. TRUE/FALSE
The given statement "While running knn, generally speaking, the larger the k is, the more accurate the results would be" is FALSE.
The statement that the larger the k is in k-nearest neighbors (kNN), the more accurate the results would be is not necessarily true. The choice of the parameter k in kNN involves a trade-off between accuracy and complexity.
In kNN, the algorithm assigns a new data point to the class that is most common among its k nearest neighbors in the training data. When k is small, the algorithm considers a small number of neighbors, which may lead to overfitting. Overfitting occurs when the model becomes too specific to the training data and fails to generalize well to unseen data. In this case, the model can capture noise or outliers in the training data, resulting in poor performance on new data.
On the other hand, when k is large, the algorithm considers a larger number of neighbors, which can lead to oversmoothing. Oversmoothing occurs when the model becomes too generalized and fails to capture the underlying patterns in the data. This can result in decreased accuracy as the decision boundaries become more blurred, leading to misclassification.
The optimal value of k depends on the characteristics of the dataset and the problem at hand. It is typically determined through techniques like cross-validation or grid search. In practice, selecting an appropriate k involves finding a balance between bias and variance. A larger k can reduce the impact of noise but may lead to oversmoothing, while a smaller k can capture more localized patterns but may be sensitive to outliers.
Therefore, it is not accurate to claim that the larger the k is, the more accurate the results would be in kNN. The choice of k should be based on careful consideration of the specific dataset and the desired trade-off between accuracy and complexity.
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The ABC corporations building is insured for $100,000 by 3 insurance companies and the amounts of $25,000 by company X, $40,000 by company Y, and $35,000 by company Z if a $10,000 loss occurs, how much will be paid by company Y?
a. $2,500
b. $4,000
c. $8,000
d. $10,000
To determine how much will be paid by company Y in the event of a $10,000 loss on the insured building, we need to calculate the proportion of the total insurance coverage that company Y provides.
Total insurance coverage = $25,000 (company X) + $40,000 (company Y) + $35,000 (company Z) = $100,000
Proportion of coverage provided by company Y = $40,000 / $100,000 = 0.4
To find the amount paid by company Y, we multiply the loss amount by the proportion of coverage:
Amount paid by company Y = $10,000 * 0.4 = $4,000
Therefore, the correct answer is b. $4,000
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A company reports the following amounts in its year-end balance sheet Accounts Receivable of $42,000, Accounts Payable of $34,000, Accumulated Depreciation of $40,000. Buildings of $180,000; Cash of $25,000. Equipment of $90,000; Prepaid Insurance of $10.000: Solaries Payable of $22.000. Office Supplies of $6,000, and Unearned Revenue of $15,000. The dollar amount of current liabilities that will not require a future payment of cash total is $
The dollar amount of current liabilities that will not require a future payment of cash in total is $34,000.
Current liabilities typically represent obligations that are expected to be settled within one year or the operating cycle of the company, whichever is longer. From the given information, Accounts Payable, Salaries Payable, and Unearned Revenue are the current liabilities. Out of these, Unearned Revenue is a liability that does not require a future payment of cash.
Unearned Revenue represents advance payments received from customers for goods or services that have not yet been delivered or performed. Therefore, the amount of Unearned Revenue, which is $15,000, does not require a future payment of cash and is not included in the calculation. Hence, the dollar amount of current liabilities that will not require a future payment of cash in total is $34,000.
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What conditions must be met if an employee is to exclude meals and lodging furnished by an employer?
An employee can exclude meals and lodging furnished by an employer if certain conditions are met. To exclude meals and lodging furnished by an employer, the meals and lodging must be furnished on the employer's premises.
The exclusion also applies if the lodging is furnished in a facility owned or leased by the employer and used as a residence by the employee. However, the lodging exclusion does not apply to lodging furnished to an employee in a foreign country as a condition of employment or to employer-provided lodging at a remote work location.
To exclude meals and lodging from gross income, the lodging must be provided for the convenience of the employer. The employee must be required to accept the lodging on the employer's business premises as a condition of employment. The convenience of the employer must be of a type that is necessary to the proper performance of the employee's duties. Also, the employee must accept the lodging for a bona fide business reason. The exclusion does not apply if the employee is required to accept lodging as a condition of employment or if the lodging is provided as compensation.
Furthermore, the exclusion does not apply if the meals or lodging are lavish or extravagant. The exclusion is limited to the value of meals and lodging provided by the employer and may not exceed the reasonable cost of the meals or lodging. The employer must have reasonable grounds for determining the reasonable cost of the meals and lodging. The reasonable cost of the meals and lodging must be included in the employee's wages and is subject to withholding and social security and Medicare taxes. The employer must also include the value of the meals and lodging in the employee's W-2.
An employee must meet certain conditions to exclude meals and lodging furnished by an employer. The meals and lodging must be furnished on the employer's premises, and the lodging must be provided for the convenience of the employer. Furthermore, the employee must be required to accept the lodging as a condition of employment, and the convenience of the employer must be of a type that is necessary to the proper performance of the employee's duties. The exclusion is limited to the value of meals and lodging provided by the employer and may not exceed the reasonable cost of the meals or lodging.
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Short Answer (12 points each) 1. Briefly explain in your own words how the use of specialized journals in an accounting system can make recording transactions both more efficient and more accurate.
Specialized journals in accounting systems are used to record frequent transactions that a business makes.
These journals are an essential part of an efficient and accurate accounting system. By utilizing specialized journals, the recording of transactions becomes more efficient and more accurate. The use of these journals can help to streamline the accounting process, reduce errors, and speed up the time it takes to record transactions. The two most commonly used specialized journals are the sales journal and the purchases journal. These journals help to record sales and purchases, respectively. By using these journals, it is easier to keep track of transactions, which can lead to more accurate financial statements. The sales journal is used to record all credit sales made by a business, while the purchases journal is used to record all credit purchases made by a business. By keeping these transactions separate, it is easier to identify errors and reconcile the accounts.
In addition to the sales and purchases journals, other specialized journals can be used, such as the cash receipts journal and the cash disbursements journal. These journals help to keep track of cash transactions, which can be time-consuming and difficult to manage. By using specialized journals, accountants can reduce the risk of errors and improve the accuracy of financial statements. Additionally, using specialized journals can help to speed up the accounting process, which can be beneficial for businesses that deal with a high volume of transactions.
Specialized journals are an essential part of an efficient and accurate accounting system. By using these journals, businesses can streamline their accounting process, reduce errors, and improve the accuracy of their financial statements. Using specialized journals can help to identify errors, reconcile accounts, and speed up the accounting process, which can be beneficial for businesses that deal with a high volume of transactions.
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FILL THE BLANK. The council of the City of Lynchburg approved its budget as follows: Budgeted revenues: Property taxes.......... Miscellaneous revenues................ Appropriations: ...........$7,500,000 $700,000 G
The council of the City of Lynchburg approved its budget as follows: Budgeted revenues: Property taxes - $7,500,000 Miscellaneous revenues - $700,000 Appropriations - Fill the blank The City of Lynchburg's approved budget does not have the amount of appropriations mentioned.
It is not possible to answer the question without the amount of appropriations.The appropriation section of a budget outlines the details of planned spending during a given time frame. It usually includes expenses on different sectors such as infrastructure, salaries, and operations, among others.
The appropriations section is usually drawn up to match the expected revenue that will come in from taxes, miscellaneous sources, and grants, among others.
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Suppose that B2B, Inc., has a capital structure of 36 percent equity, 16 percent preferred stock, and 48 percent debt. Assume the before-tax component costs of equity, preferred stock, and debt are 13.5 percent, 9.0 percent, and 8.5 percent, respectively. What is B2B’s WACC if the firm faces an average tax rate of 30 percent?
The way a corporation finances its overall activities and development by a combination of equity, debt, or preference shares is known as capital structure. In other words, capital structure refers to the method a corporation uses to raise funds from various sources to meet its investment needs.
The cost of capital or the WACC of a corporation depends on its capital structure. Here, in the given problem, the cost of capital is determined by the capital structure of the firm. Suppose that B2B, Inc., has a capital structure of 36 percent equity, 16 percent preferred stock, and 48 percent debt. Assume the before-tax component costs of equity, preferred stock, and debt are 13.5 percent, 9.0 percent, and 8.5 percent, respectively. What is B2B’s WACC if the firm faces an average tax rate of 30 percent?Given: Cost of Equity (Re) = 13.5%Cost of Preferred Stock (Rp) = 9%Cost of Debt (Rd) = 8.5%Equity (E) = 36%Preferred Stock (PS) = 16%Debt (D) = 48%Tax rate (T) = 30%WACC is given by the following formula:WACC = (E / V) * Re + (PS / V) * Rp + (D / V) * Rd * (1 - T)Where,E = Market Value of the Firm's EquityV = Total .
Market Value of the Firm's Capital (E + PS + D)Re = Cost of EquityPS = Market Value of the Firm's Preferred StockRp = Cost of Preferred StockD = Market Value of the Firm's DebtRd = Cost of DebtT = Corporate Tax RateBy substituting the given values, we get;WACC = (0.36 * 0.135) + (0.16 * 0.09) + (0.48 * 0.085) * (1 - 0.30)WACC = 0.08082 or 8.08%
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Nyameye Company Limited is a new business established to produce blocks (in units). The demand function for blocks is given as 4 = 35−0.5P. It has been estimated that the total fixed cost is GH¢80 and average variable cost function is 3−51+ 320, where Q is number of blocks produced and P is the price per block (in GH¢). Given this information, what is the total profit at the profit maximizing level of output, and what is the best pricing policy option?
Therefore, the total profit at the profit-maximizing level of output is GH¢7316.
To determine the total profit at the profit-maximizing level of output and the best pricing policy option for Nyameye Company Limited, we need to analyze the given information.
The demand function for blocks is given as:
Q = 35 - 0.5P
Total fixed cost (TFC) is GH¢80, which remains constant regardless of the level of output.
The average variable cost (AVC) function is:
AVC = 3 - 5Q + 320
To find the profit-maximizing level of output, we need to consider the marginal cost (MC) and marginal revenue (MR) concepts.
Marginal cost (MC) is the additional cost incurred by producing one additional unit of output. It can be obtained by differentiating the average variable cost (AVC) function with respect to quantity (Q):
MC = dAVC/dQ = -5
Marginal revenue (MR) is the additional revenue obtained by selling one additional unit of output. It can be obtained by differentiating the demand function with respect to quantity (Q):
MR = d(35 - 0.5P)/dQ = -0.5
To maximize profit, we need to set MC equal to MR:
MC = MR
-5 = -0.5
Q = (0.5/5) * (35 - 0.5P)
Simplifying:
-1 = 0.1 - 0.01P
0.01P = 0.1 + 1
0.01P = 1.1
P = 1.1 / 0.01
P = 110
The profit-maximizing price per block (P) is GH¢110. Now, we can substitute this value into the demand function to find the profit-maximizing level of output (Q):
Q = 35 - 0.5P
Q = 35 - 0.5 * 110
Q = 35 - 55
Q = 10
The profit-maximizing level of output is 10 units.
To calculate the total profit, we need to subtract the total cost (TC) from the total revenue (TR) at the profit-maximizing level of output.
Total revenue (TR):
TR = P * Q
TR = 110 * 10
TR = GH¢1100
Total cost (TC):
TC = TFC + (AVC * Q)
TC = 80 + ((3 - 5Q + 320) * Q)
TC = 80 + (3Q - 5Q^2 + 320Q)
TC = 80 + 3Q - 5Q^2 + 320Q
TC = 3Q - 5Q^2 + 320Q + 80
Total profit:
Profit = TR - TC
Profit = GH¢1100 - (3Q - 5Q^2 + 320Q + 80)
Profit = -5Q^2 + 323Q + 1020
To determine the best pricing policy option, we need to analyze the profit equation and compare the profits under different pricing strategies. Since the profit function is quadratic, we can examine its concavity to find the maximum profit.
The coefficient of the quadratic term is negative (-5), indicating a downward-opening parabola. Therefore, the profit function has a maximum point.
By calculating the derivative of the profit function and setting it equal to zero, we can find the quantity that maximizes profit:
dProfit/dQ = -10Q + 323
-10Q + 323 = 0
Q = 32.3
Since the quantity of blocks cannot be fractional, we round down to the nearest whole number:
Q = 32
Substituting this quantity back into the profit function:
Profit = -5(32)^2 + 323(32) + 1020
Profit = GH¢7316
Therefore, the total profit at the profit-maximizing level of output is GH¢7316.
The best pricing policy option is to set the price per block at GH¢110, as determined earlier, which maximizes the profit at the profit-maximizing level of output.
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Explain why, in the condition for equilibrium, aggregate
demand equal aggregate supply would be same if we say total
leakages must equal to total injections.
Aggregate demand is defined as the total demand for all goods and services produced in an economy while Aggregate supply is the total supply of goods and services produced in an economy.
The equilibrium condition in macroeconomics is when aggregate demand is equal to aggregate supply.
A leakage is the amount of money that leaves the circular flow of income while an injection is the amount of money that enters the circular flow of income. There are three types of leakages which are savings, taxes, and imports.
On the other hand, there are three types of injections which are investments, government spending, and exports.Explanation:In macroeconomics, the circular flow of income model shows the movement of money in an economy. Money is earned by households through factors of production, which is then spent on goods and services produced by firms. Firms, in turn, use the money earned to pay for factors of production.
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a _____ on stock occurs when a corporation issues its stock for more than par (or stated) value.
A premium on stock occurs when a corporation issues its stock for more than par (or stated) value.
A company is said to have issued its stock at a premium when it sold it for more than its par value. The difference between the par value and the premium also known as the nominal or face value of a share of stock is known as the par value.
The premium reflects the stock's increased value or perceived value. In order to raise more money, businesses frequently issue stock at a premium when there is strong demand or when the market is favorable. The additional paid in capital account on the company's balance sheet is typically where the premium received is recorded.
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Question 10: Which of the following tools and technologies can help team members connect to each other and form better relationships? Select all that apply.
Social media network
Instant messaging
Project management systems
Application sharing software
Videoconferences
The tools and technologies that can help team members connect to each other and form better relationships are Social media network, Instant messaging, Project management systems and Videoconferences.
Whatever their physical locations, these tools help team members interact, communicate, and work together. Social media platforms give people a place to connect and have casual conversations. Team members can communicate quickly and directly using instant messaging.
Centralized document sharing and collaboration are made possible by project management systems. Videoconferences mimic in person interactions, promoting better comprehension and the growth of relationships. Although not mentioned, application sharing software can be useful for teamwork by enabling members to share and work on documents at the same time.
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Medilab Pharmaceuticals had EBIT of $331 million in 2016. In addition, Medilab had interest expenses of $157 million and a corporate tax rate of 30%. a. What is Medilab's 2016 net profit? b. What is the total of Medilab's 2016 net profit plus interest payments? c. If Medilab had no interest expenses, what would its 2016 net profit have been? How does it compare to your answer in part b? d. What is the amount of Medilab's interest tax shield in 2016?
a. Medilab's 2016 net profit was $ 139.7 million.
b. The total of Medilab's 2016 net profit plus interest payments was $ 296.7 million.
c. If Medilab had no interest expenses, its 2016 net profit would have been $ 488 million. The figure obtained in part b was $ 296.7 million. It is because interest expenses are tax-deductible, and Medilab was able to lower its taxes through the interest tax shield.
d. The amount of Medilab's interest tax shield in 2016 was $ 47.1 million.
Explanation:
a. Net profit can be obtained by deducting the interest expense and taxes from EBIT. Therefore, the formula for net profit can be written as follows :Net profit = EBIT - Interest expense - Taxes= $331 million - $157 million - ($331 million - $157 million) * 0.30= $139.7 million. Therefore, Medilab's 2016 net profit was $139.7 million.
b. The total of Medilab's 2016 net profit plus interest payments can be obtained by adding the net profit and interest expenses together . Net profit plus interest payments = Net profit + Interest expenses= $139.7 million + $157 million= $296.7 million. Therefore, the total of Medilab's 2016 net profit plus interest payments was $296.7 million.
c. If Medilab had no interest expenses, its 2016 net profit would have been higher because interest expenses are tax-deductible. Therefore, the net profit without interest expenses can be obtained by using the following formula:Net profit without interest expenses = EBIT * (1 - Tax rate)= $331 million * (1 - 0.30)= $231.7 millionThe difference between this figure and the figure obtained in part b is the interest tax shield. The net profit without interest expenses was $231.7 million, which is significantly higher than the figure obtained in part b.
d. The interest tax shield can be calculated as follows :Interest tax shield = Interest expense * Tax rate= $157 million * 0.30= $47.1 million. Therefore, the amount of Medilab's interest tax shield in 2016 was $47.1 million.
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Required information
Problem 19-1A (Algo) Computing job costs and overhead rate; assigning costs to inventory LO C1, P3
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[The following information applies to the questions displayed below.]
At the end of June, the job cost sheets at Ace Roofers show the following costs accumulated on three jobs.
At June 30 Job 5 Job 6 Job 7
Direct materials $ 18,000 $ 34,500 $ 28,500
Direct labor 11,000 17,200 24,000
Overhead applied 5,500 8,600 12,000
Additional Information
Job 5 was started in May, and the following costs were assigned to it in May: direct materials, $7,500; direct labor, $3,300; and applied overhead, $2,400. Job 5 was finished in June.
Job 6 and Job 7 were started in June; Job 6 was finished in June, and Job 7 is to be completed in July.
Overhead cost is applied with a predetermined rate based on direct labor cost. The predetermined overhead rate did not change across these months.
Problem 19-1A (Algo) Part 1
Required
1. What is the total cost of direct materials requisitioned in June?
The total cost of direct materials requisitioned in June is $52,500.
To calculate the total cost of direct materials requisitioned in June, we need to consider the direct materials costs for each job completed or in progress during that month. Based on the information provided:
For Job 5: In May, $7,500 of direct materials were assigned to Job 5. Since Job 5 was finished in June, we need to consider the additional direct materials requisitioned for this job in June. According to the job cost sheet, an additional $18,000 of direct materials was accumulated for Job 5 at the end of June. For Job 6: Job 6 was started and finished in June, so all the direct materials requisitioned for this job would be included in the June costs. According to the job cost sheet, $34,500 of direct materials was accumulated for Job 6 at the end of June.
For Job 7: Job 7 was started in June but will be completed in July. Since it is not yet finished, we do not consider the direct materials cost for this job in June. Calculating the total direct materials cost for June:
Direct materials for Job 5 in June: $18,000
Direct materials for Job 6 in June: $34,500
Adding these two amounts together, the total cost of direct materials requisitioned in June is $52,500.
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What types of specific skills (such as knowledge of financial accounting methods) do you think HR professionals will need in order to have the business, professional-technical, change management, and integrative competencies necessary in the future? Where can you develop each of these skills?
To develop these skills, HR professionals can engage in a variety of learning opportunities, including formal education programs, professional certifications (such as SHRM-CP or HRCI certifications), attending conferences and workshops, participating in webinars and online courses, and networking with other HR professionals.
1. Business Competency: HR professionals will need knowledge and skills in areas such as strategic planning, financial analysis, and data analytics. They should understand the organization's business model, market dynamics, and industry trends. Developing business acumen can be achieved through formal education, attending business seminars and workshops, and actively seeking opportunities to collaborate with other departments in the organization.
2. Professional-Technical Competency: HR professionals should have expertise in various HR functional areas such as recruitment, compensation and benefits, employee relations, performance management, and talent development. Staying updated with the latest trends, best practices, and legal regulations in HR can be achieved through professional certifications, attending HR conferences and workshops, and engaging in continuous learning and development activities.
3. Change Management Competency: HR professionals should possess skills in managing organizational change, including change planning, communication, and employee engagement. They should be able to assess the impact of change initiatives on employees, facilitate smooth transitions, and mitigate resistance. Developing change management skills can be done through specialized training programs, workshops, and working on change initiatives within the organization.
4. Integrative Competency: HR professionals should have the ability to integrate HR strategies and initiatives with overall organizational goals. This involves aligning HR practices with the organization's mission, vision, and values. Developing integrative skills can be supported through cross-functional collaborations, participation in strategic planning sessions, and seeking opportunities to contribute to organizational decision-making processes.
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he Wrigley Corporation needs to raise $44 million. The investment banking firm of Tinkers, Evers & Chance will handle the transaction.
A. If stock is utilized, 2,300,000 shares will be sold to the public at $20.50 per share. The corporation will receive a net price of $19 per share. What is the percentage underwriting spread per share?
B. If bonds are utilized, slightly over 43,700 bonds will be sold to the public at $1,009 per bond. The corporation will receive a net price of $994 per bond. What is the percentage of underwriting spread per bond? (Relate the dollar spread to the public price.)
C. Which alternative has the larger percentage of spread? Is this the normal relationship between the two types of issues?
A. The underwriting spread for the stock offering is calculated by finding the difference between the public price and the net price per share. In this case, the underwriting spread per share is $1.50, which represents 7.89% of the net price per share of $19.00.
B. Similarly, for the bond offering, the underwriting spread per bond is obtained by subtracting the net price per bond from the public price per bond. The underwriting spread per bond is $15, which accounts for 1.51% of the net price per bond of $994.
C. Comparing the two alternatives, it is evident that the stock offering has a larger percentage underwriting spread (7.89%) compared to the bond offering (1.51%). This difference is typically observed in the financial industry, reflecting the higher risks and potential returns associated with stocks compared to bonds. Stockholders bear ownership risk and have the potential for higher returns, which justifies a higher underwriting spread. Bonds, being less risky with fixed interest payments, have a lower underwriting spread percentage.
A. To calculate the percentage underwriting spread per share for the stock offering, we need to find the difference between the public price and the net price and express it as a percentage of the net price.
Public price per share = $20.50
Net price per share = $19.00
Underwriting spread per share = Public price per share - Net price per share
= $20.50 - $19.00
= $1.50
Percentage underwriting spread per share = (Underwriting spread per share / Net price per share) * 100
= ($1.50 / $19.00) * 100
= 7.89%
B. To calculate the percentage underwriting spread per bond for the bond offering, we follow the same formula as above:
Public price per bond = $1,009
Net price per bond = $994
Underwriting spread per bond = Public price per bond - Net price per bond
= $1,009 - $994
= $15
Percentage underwriting spread per bond = (Underwriting spread per bond / Net price per bond) * 100
= ($15 / $994) * 100
= 1.51%
C. Comparing the two alternatives, we find that the percentage underwriting spread for the stock offering is larger (7.89%) compared to the bond offering (1.51%). This indicates that the stock offering has a higher underwriting spread percentage.
This difference in underwriting spreads is generally expected since stock offerings tend to involve higher risks and potential returns compared to bond offerings. Stockholders bear the ownership risk of the company, and the potential for higher returns justifies a higher underwriting spread. Bonds, on the other hand, offer fixed interest payments and are considered less risky, resulting in a lower underwriting spread percentage.
The relationship between the two types of issues, with stocks having a larger percentage spread compared to bonds, is typical in the financial industry. It reflects the risk-return trade-off and the market dynamics surrounding equity and debt offerings.
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HW 5 i 3 Feather Friends, Incorporated, distributes a high-quality wooden birdhouse that sells for $120 per unit. Variable expenses are $60.00 per unit, and fixed expenses total $180,000 per year. Its
The contribution margin ratio when Feather Friends, Inc., distributes a high-quality wooden birdhouse that sells for $120 per unit is 50%
How to calculate the valueDivide the contribution margin by the sales to get the contribution margin (CM) ratio. The contribution margin is calculated as sales revenue minus variable expenses. Based on the information provided:
Contribution margin will be Sales - Variable expenses
Contribution margin = $3,240,000 - $1,620,000
Contribution margin = $1,620,000
CM ratio will be Contribution margin / Sales
CM ratio = $1,620,000 / $3,240,000
CM ratio ≈ 0.5 or 50%
Therefore, the product's CM ratio is 50%.
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Feather Friends, Inc., distributes a high-quality wooden birdhouse that sells for $120 per unit. Variable expenses are $60.00 per unit, and fixed expenses total $160,000 per year. Its operating results for last year were as follows:
Sales $ 3,240,000
Variable expenses 1,620,000
Contribution margin 1,620,000
Fixed expenses 160,000
Net operating income $ 1,460,000
Required:
1. What is the product's CM ratio?
Manama Trading has $8,000 of cash sales that are subject to an additional 8% sales tax, what is the journal entry to record the cash sales in the company books? OA Debit Cash $ 8,000, credit Sales $ 7
The correct journal entry to record the cash sales in the company books is: Debit Cash $8,000, credit Sales $7,360, credit Sales Taxes Payable $640. Therefore, the correct option is (A).
The correct journal entry to record the cash sales in the company books is: Debit Cash $8,000, credit Sales $7,360, credit Sales Taxes Payable $640.This journal entry reflects the cash sales of $8,000 in the Cash account, representing an increase in the company's cash balance. The Sales account is credited for the net sales amount of $7,360, which is the cash sales amount minus the sales tax. The Sales Taxes Payable account is credited for the sales tax amount of $640, representing the liability to remit the collected sales tax to the tax authorities.By using this entry, the company properly records the cash sales revenue, recognizes the sales tax liability, and records the net sales amount in its financial statements. This ensures accurate reporting and compliance with tax regulations.Therefore, the correct option is (A).
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Question:
Manama Trading has $8,000 of cash sales that are subject to an additional 8% sales tax, what is the journal entry to record the cash sales in the company books?
A) Debit Cash $ 8,000, credit Sales $ 7,360, credit Sales Taxes Payable $640.
B) Debit Cash $ 8,000, credit Sales $ 8,000, and record the taxes when paid.
C) Debit Sales Taxes Payable $ 640, debit Cash $ 7,360, credit Sales $ 8,000.
D) Debit Cash $ 8,640, credit Sales $ 8,000, credit Sales Taxes Payable $ 640.
Determine the standard deviation given the following Economic State Probability Return Fast Growth 0.3 50% Slow Growth 0.5 30% Recession 0.2-15% Select one:
a. 22.7156% b. 8.2564% c. 7% d. 5.16% e. 26.4575%
The required standard deviation is 22.7156%, option a.
To determine the standard deviation, we need to calculate the variance first. The variance is calculated by taking the weighted sum of the squared deviations from the expected return.
For Fast Growth:
Probability = 0.3
Return = 50%
Expected Return (μ) = 0.3 × 50% = 0.15
Deviation from the expected return
= Return - Expected Return
= 50% - 0.15
= 0.35
Squared Deviation = (0.35)² = 0.1225
Weighted Variance
= Probability × Squared Deviation
= 0.3 × 0.1225
= 0.03675
For Slow Growth:
Probability = 0.5
Return = 30%
Expected Return (μ) = 0.5 × 30% = 0.15
Deviation from the expected return
= Return - Expected Return
= 30% - 0.15
= 0.15
Squared Deviation = (0.15)² = 0.0225
Weighted Variance
= Probability × Squared Deviation
= 0.5 × 0.0225
= 0.01125
For Recession:
Probability = 0.2
Return = -15%
Expected Return (μ) = 0.2 × (-15%) = -0.03
Deviation from the expected return = Return - Expected Return = -15% - (-0.03) = -0.12
Squared Deviation = (-0.12)² = 0.0144
Weighted Variance
= Probability × Squared Deviation
= 0.2 × 0.0144
= 0.00288
Now, sum up the weighted variances:
Total Variance = 0.03675 + 0.01125 + 0.00288
= 0.05088
Finally, the standard deviation is the square root of the variance:
Standard Deviation = √0.05088 ≈ 0.2257156
Converting to percentage:
Standard Deviation ≈ 0.2257156 × 100% ≈ 22.7156%
Therefore, the correct option is (a) 22.7156%.
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A toy manufacturer makes its own wind-up motors subassembly, which are then put into its toys. The facility works 250 days per year. The annual demand is 30,726 units. The daily subassembly production rate is 1000 units and the daily subassembly usage rate is 200 units. The setup cost is $63 and the carrying cost is $0.2. How large should each batch of wind-up motors be to minimize cost?
The batch size should be 1,778 units. In the production system, batch production is the manufacture of a product in batches.
When a batch of one product is finished, another is begun, and the identical setup process is repeated. Batch production is mostly utilized when the manufacturing process is expensive or when the product is very important and a minimum waste quantity is required. Manufacturers use batch production when a specific product is in high demand, which is generally for a limited period of time, or when producing in smaller quantities with diverse specifications. It is important to calculate the batch size in order to minimize cost. Here, the manufacturer makes its own wind-up motors subassembly, which are then put into its toys. The facility works 250 days per year. The annual demand is 30,726 units. The daily subassembly production rate is 1000 units and the daily subassembly usage rate is 200 units. The setup cost is $63 and the carrying cost is $0.2.Calculating Batch Size: First, we need to calculate the time between successive production runs.
Production time = Annual demand/production rate
=30,726/1000
=30.726 days
Then, we calculate the number of units produced in the time between successive runs:
Units produced in time between runs = Production time*Usage rate
=30.726*200
=6,145.2 units
Now, we can calculate the economic batch quantity (EBQ) using the given data.
The formula for EBQ is: EBQ = sqrt((2SD)/C),
where: S = Annual Demand = 30,726D = Daily Demand = 30,726/250 = 122.904, C = Carrying Cost = $0.2 per unit SD = Standard Deviation = sqrt[(D² x S)/n]
= sqrt[(122.904² x 250)/250] = 122.904EBQ
= sqrt((2 x 122.904 x 30,726) / 0.2)
= 1,778.44 units
Therefore, the batch size should be 1,778 units.
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