The first random sample of 25 students was taken from 2nd year students in 2017 and the second random sample of 25 students was taken from 2nd year students in 2016. Their midterm exam scores have been recorded. The summary statistics are as in the following table. 2017 sample 2016 sample 160 125 N (population size) n (sample size) 25 25 45 55 X (sample mean) 15 12 (population standard deviation) 18 20 s (sample standard deviation) (a) Test at the 5% significance level that the null hypothesis that the population mean score for 2017 is greater than or equal to 60 against the alternative that it is less than 60 for the following two cases. Case 1: Population standard deviation is known to be 12. Case 2 Population standard deviation is unknown. Sample standard deviation is computed as 18. Include null and alternative hypotheses, decision rules and your decisions. Interpret your result. Compute p-value for Case 1 (b) (c) (d) Compute the probability of Type II error when the true population mean is 53 for Case 1 Draw a figure of the hypothesis test from part (a), p-value from part (b) and Type II error from part (c). Include (i) Rejection Region, (ii) Critical Value, (iii) Sample Mean, (iv) P-value and (v) Type II error. (e) Test at the 5% significance level that the difference between the mean exam scores from two years [set it as #2017-2016) is 0 against the alternative that it is not 0 for the following two cases. Case A: Consider these sample data as independent sample. The population variances are known. Case B Consider these sample data as independent sample. The population variances are unknown (no equality assumption). Use v= 40.

Answers

Answer 1

a) Case 1Population standard deviation is known to be 12.Null Hypothesis H0: µ ≤ 60Alternative HypothesisH1: µ > 60Level of Significanceα = 0.05 Critical value at α = 0.05 and degree of freedom (df) = n-1 = 25-1 = 24 is 1.711.

First, we need to find out the Z-value for the given data set. We use the below formula:z = (X - µ) / σz = (160 - 60) / 12z = 8.33The calculated Z-value is 8.33. It is greater than the critical value of 1.711. Therefore, we can reject the null hypothesis. In other words, we have enough evidence to support the alternative hypothesis. Conclusion: The population mean score for 2017 is less than 60. Case 2Population standard deviation is unknown. Sample standard deviation is computed as 18.

Null HypothesisH0: µ ≤ 60Alternative HypothesisH1: µ > 60Level of Significanceα = 0.05Critical value at α = 0.05 and degree of freedom (df) = n-1 = 25-1 = 24 is 1.711.The test statistic for the given data set is as follows:t = (X - µ) / (s/√n)Where s = 18, X = 160, µ = 60, n = 25t = (160 - 60) / (18/√25)t = 5.56The calculated value of t is 5.56. It is greater than the critical value of 1.711.

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Related Questions

a 6.40 percent coupon bond with 10 years left to maturity is priced to offer a 7.8 percent yield to maturity. you believe that in one year, the yield to maturity will be 7.0 percent. assuming semiannual interest payments, what is the change in price the bond will experience in dollars?

Answers

The change in price the bond will experience in dollars is approximately $-5.43.

To calculate the change in price, we need to find the present value of the bond's cash flows at the new yield to maturity.

Given:

Coupon rate = 6.40% (or 0.064)

Yield to maturity (initial) = 7.8% (or 0.078)

Yield to maturity (new) = 7.0% (or 0.07)

Time to maturity = 10 years

Since the bond pays semiannual interest, it will have 20 periods (10 years * 2 periods per year).

Using the formula for present value of a bond, the price of the bond at the initial yield to maturity can be calculated as follows:

PV = (C / 2) * [1 - (1 + r)⁻ⁿ] / r + F / (1 + r)ⁿ

Where:

C = Coupon payment

r = Yield to maturity

n = Number of periods

F = Face value of the bond

Using the given values, we can calculate the price of the bond at the initial yield to maturity:

C = 0.064 * Face value / 2

r = 0.078 / 2

n = 20

F = Face value

Next, we calculate the present value of the bond's cash flows at the new yield to maturity of 7.0% using the same formula but with the updated yield to maturity:

C = 0.064 * Face value / 2

r = 0.07 / 2

n = 19 (as one year has passed)

F = Face value

Finally, we find the difference between the two prices to determine the change in price.

Step 1: Calculate the present value of the bond at the initial yield to maturity.

Coupon payment per period:

C = 0.064 * $1000 / 2 = $32

Number of periods:

n = 10 years * 2 = 20

Yield to maturity per period:

r = 0.078 / 2 = 0.039

Present value of the bond:

PV = (C / 2) * [1 - (1 + r)⁻ⁿ] / r + F / (1 + r)ⁿ

= ($32 / 0.039) * [1 - (1 + 0.039)(-20)] + $1000 / (1 + 0.039)20

≈ $747.78

Step 2: Calculate the present value of the bond at the new yield to maturity.

Coupon payment per period and number of periods remain the same.

New yield to maturity per period:

r_new = 0.07 / 2 = 0.035

Present value of the bond at the new yield to maturity:

PV_new = ($32 / 0.035) * [1 - (1 + 0.035)(-20)] + $1000 / (1 + 0.035)20

≈ $753.21

Step 3: Calculate the change in price.

Change in price = PV_new - PV

= $753.21 - $747.78

≈ $5.43

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suppose that the value of the euro fell from $1.47 on january 1, 2009 to $1.40 on january 12, 2009. this implies that:

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The statement, "suppose that the value of the euro fell from $1.47 on January 1, 2009, to $1.40 on January 12, 2009. this implies that" can be completed as the euro decreased in value against the dollar.

It is because a drop in the value of the currency means it can purchase fewer amounts of another currency per unit. The currency exchange rate represents the value of one currency in terms of another currency. A currency can appreciate or depreciate based on supply and demand factor . Suppose that the value of the euro fell from $1.47 on January 1, 2009, to $1.40 on January 12, 2009. This implies that the euro decreased in value against the dollar.

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under public law 86-272, which activity does not establish nexus? solicitation of orders is approved out-of-state, and delivery is made from an in-state location. solicitation of orders is approved out-of-state, and delivery is made from an out-of-state location. solicitation of orders is approved in-state, and delivery is made from an in-state location. solicitation of orders is approved in-state, and delivery is made from an out-of-state location.

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Under public law 86-272, which establishes limitations on a state's ability to impose taxes on certain out-of-state businesses, the activity that does not establish nexus is: solicitation of orders is approved out-of-state, and delivery is made from an out-of-state location. (Option B)

Under Public Law 86-272, the only activity that does not establish nexus (i.e., does not create sufficient connection or presence) for an out-of-state business to be subject to a state's income tax is:

b. solicitation of orders is approved out-of-state, and delivery is made from an out-of-state location.

This means that if a business only engages in solicitation activities in a state and all orders are approved and accepted outside of that state, and if the delivery of the goods is made from an out-of-state location, the business would not establish nexus and would be protected from that state's income tax jurisdiction.

In other words, if the business does not have any physical presence beyond solicitation in the state and does not engage in activities such as delivery or maintaining inventory within the state, it would be exempt from the state's income tax.

It's important to note that the specific application and interpretation of Public Law 86-272 can vary, and it's advisable to consult with a tax professional or legal expert for accurate and up-to-date guidance based on the specific circumstances and relevant state laws.

The correct question is:

Under public law 86-272, which activity does not establish nexus? a. solicitation of orders is approved out-of-state, and delivery is made from an in-state location.

b. solicitation of orders is approved out-of-state, and delivery is made from an out-of-state location.

c. solicitation of orders is approved in-state, and delivery is made from an in-state location.

d. solicitation of orders is approved in-state, and delivery is made from an out-of-state location.

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Course: Introduction to Economics - Growth and
CPI
Walking through your Faculty, you hear someone say, "Whenever
you read a CPI inflation figure, remember that actual inflation is
higher, because CPI

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The statement "Whenever you read a CPI inflation figure, remember that actual inflation is higher, because CPI understates inflation." is usually true because it employs a basket of goods that does not precisely reflect the items that consumers buy every day. It is essential to keep in mind that CPI is a rough indicator of inflation, and the actual cost of living may vary depending on various personal variables.

The Consumer Price Index (CPI) is a widely used measure of inflation that tracks the average price change of a basket of goods and services consumed by households. However, there are some limitations to the CPI that can lead to an understatement of actual inflation:

Substitution bias: The CPI assumes that consumers do not change their consumption patterns in response to price changes. In reality, when the price of a particular good or service increases, consumers may substitute it with a cheaper alternative. The CPI does not fully account for this substitution behavior, which can lead to an understatement of inflation.Quality changes: The CPI does not always capture improvements in the quality of goods and services over time. If the quality of a product improves while its price remains the same, the CPI may not fully reflect the increased value received by consumers. This can result in an understatement of inflation.New products and outlets: The CPI may not adequately capture the introduction of new products or changes in the way goods and services are purchased. As new products enter the market or consumers shift their shopping preferences to different outlets, the CPI may not fully account for these changes, leading to a potential understatement of inflation.

Overall, while the CPI is a useful indicator of inflation, it is important to recognize its limitations and understand that actual inflation may be higher than what is reported by the CPI.

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2) (15 points) Suppose that the utility possibilities curve of a 2 person economy is given by the equation u + Au = 20 where A E R+ and the social welfare function of the economy is W(U₁₁U₂) = U

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For every point on the , the contract curve utility possibilities frontier depicts the utility levels of the two customers. The utility of one consumer is plotted on the vertical axis, and the utility of the other consumer is displayed on the horizontal axis.

the graph illustrating the maximum degree of utility that any individual can achieve given the utility levels of other members of society. It represents the outer limits of a range of economic agents' utility possibilities for the specified level of production.

calculates each person's contribution to society's overall welfare. No matter how useful they were at first, everyone is treated equally.

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the economic analysis of minimum wage involves both normative and positive analysis. consider the following consequences of a minimum wage:a. the minimum wage law causes unemployment.b. unemployment would be lower without a minimum wage law.c. minimum wage laws benefit some workers and harm others.d. the minimum wage should be more than $7.25 per hour.which of the consequences above are positive statements and which are normative statements?

Answers

The minimum wage law causes unemployment is a positive statement, Unemployment would be lower without a minimum wage law and Minimum wage laws benefit some workers and harm others are positive statements. (Option a, b and c)

Positive statements are statements that can be objectively tested or evaluated based on facts and data. Normative statements, on the other hand, involve value judgments and express opinions about what should or ought to be.

Based on the consequences of a minimum wage presented:

a. "The minimum wage law causes unemployment." - This is a positive statement as it can be evaluated and tested by analyzing empirical data and studying the relationship between minimum wage and unemployment rates.

b. "Unemployment would be lower without a minimum wage law." - This is also a positive statement as it makes a factual claim about the potential impact of the minimum wage law on unemployment levels. It can be evaluated and tested using empirical evidence.

c. "Minimum wage laws benefit some workers and harm others." - This is a positive statement as well, as it describes the different effects that minimum wage laws can have on different groups of workers. It can be evaluated and tested by analyzing the distributional impacts of minimum wage policies.

d. "The minimum wage should be more than $7.25 per hour." - This is a normative statement because it expresses an opinion about what the minimum wage should be. It involves a value judgment and reflects a particular perspective or preference.

To summarize:

Positive statements: a, b, c

Normative statement: d

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RiverRocks, Inc., is considering a project with the following projected free cash​ flows:

Year

0

1

2

3

4

Cash Flow

​(in millions)

−$50.8

$9.1

$20.4

$20.8

$15.8

The firm believes​ that, given the risk of this​ project, the WACC method is the appropriate approach to valuing the project.​ RiverRocks' WACC is 12.9%.

Should it take on this​ project? Why or why​ not?

The net present value of the project is - ? million.  ​(Round to three decimal​ places.)

Answers

Yes, RiverRocks, Inc. should undertake the project because the NPV is positive ($17.210 million).

To determine whether RiverRocks, Inc. should undertake the project, we need to calculate the net present value (NPV) of the project. The NPV is the difference between the present value of cash inflows and the present value of cash outflows.

Using the WACC method, we discount each cash flow by the weighted average cost of capital (WACC) to calculate their present values. The WACC for RiverRocks is given as 12.9%.

Year Cash Flow​ Discount Rate PV of Cash Flow

0 ($50.8) 1.129 ($57.381)

1 $9.1 1.129 $10.293

2 $20.4 1.129 $22.996

3 $20.8 1.129 $23.486

4 $15.8 1.129 $17.816

To calculate the NPV, we sum up the present values of the cash flows:

NPV = ($57.381) + $10.293 + $22.996 + $23.486 + $17.816 = $17.210 million

The calculated NPV of the project is $17.210 million. Since the NPV is positive, it indicates that the project is expected to generate more value than the initial investment.

Therefore, RiverRocks, Inc. should undertake this project. The positive NPV suggests that the project's cash flows are expected to exceed the cost of capital, resulting in increased shareholder wealth.

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Le Wood, Inc. Le Wood, Inc. makes furniture sets. During April, the purchasing agent bought 25,600 pounds of lumber at $1.94 per pound. During the month, 21,400 pounds of lumber were used to produce 600 furniture sets. Each set requires a standard quantity of 35 pounds at a standard cost of $1.90 per pound. The company applies fixed overhead at a rate of $3 per direct labor hour. Each furniture produced is expected to take 30 direct labor hours. Paper Products expected production in the current year to be 750 sets but 600 units were actually produced. Actual direct labor hours were 19,000 and actual fixed overhead costs were $62,000. REQUIRED 1. Find the direct material price variance (based on the quantity PURCHASED) for April. 2. Find the direct material quantity variance (based on quantity USED) for April.

Answers

1. The direct material price variance for April is $6,400 favorable.

2. The direct material quantity variance for April is $1,700 unfavorable.

1. The direct material price variance is calculated by multiplying the difference between the actual price and the standard price by the quantity purchased.

Actual quantity purchased = 25,600 pounds

Actual price = $1.94 per pound

Standard price = $1.90 per pound

Direct material price variance = (Actual price - Standard price) x Actual quantity purchased

= ($1.94 - $1.90) x 25,600 pounds

= $0.04 x 25,600 pounds

= $1,024 favorable

Therefore, the direct material price variance for April is $1,024 favorable.

2. The direct material quantity variance is calculated by multiplying the difference between the actual quantity used and the standard quantity by the standard price.

Actual quantity used = 21,400 pounds

Standard quantity = 600 sets x 35 pounds per set = 21,000 pounds

Standard price = $1.90 per pound

Direct material quantity variance = (Actual quantity used - Standard quantity) x Standard price

= (21,400 pounds - 21,000 pounds) x $1.90 per pound

= 400 pounds x $1.90 per pound

= $760 unfavorable

Therefore, the direct material quantity variance for April is $760 unfavorable.

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Purchases Transactions Rolfes Company purchased merchandise on account from a supplier for $9,200, terms 1/10, n/30. Rolfes returned $1,400 of the merchandise and received full credit.

a. If Rolfes Company pays the invoice within the discount period, what is the amount of cash required for the payment? If required, round the answer to the nearest dollar. $_____

b. What account is debited by Rolfes Company to record the return? ______

Answers

If Rolfes Company pays the invoice within the discount period, the amount of cash required for the payment is $9,108

The account debited by Rolfes Company to record the return of the merchandise is the "Accounts Payable" account

The terms "1/10, n/30" indicate that a 1% discount is available if the invoice is paid within 10 days. The "n/30" means the total invoice amount is due within 30 days without the discount.

To calculate the discount, we multiply the invoice amount by the discount rate:

Discount = Invoice amount x Discount rate

Discount = $9,200 x 1% = $92

The amount of cash required for payment within the discount period is the invoice amount minus the discount:

Cash required = Invoice amount - Discount

Cash required = $9,200 - $92 = $9,108

The account debited by Rolfes Company to record the return of the merchandise is typically the "Accounts Payable" account. This is because the return reduces the amount owed to the supplier, effectively decreasing the accounts payable balance.

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Which of these journal entries represent paying cash to reduce a liability? (check all that apply)
a)Dr. Cash 1000
Cr. Notes Payable 1000
b)Dr. Land 100
Cr. Cash 100
c)Dr. Income Taxes Payable 500
Cr. Cash 500
d)Dr. Cash 300
Cr. Accounts Payable 300
e)Dr. Retained Earnings 500
Cr. Cash 500

Answers

The journal entries that represent paying cash to reduce a liability are as follows: Dr. Cash 1000 Cr. Notes Payable 1000 Dr. Income Taxes Payable 500 Cr. Cash 500Dr. Cash 300 Cr. Accounts Payable 300.  The correct options are a, c, and d.

When liability is reduced by paying cash, it is typically recorded through a journal entry that reflects the decrease in the liability account and the corresponding decrease in the cash account. This transaction is essential for accurately representing the financial position of a company.

For example, in the journal entry "Dr. Cash 1000 Cr. Notes Payable 1000," the liability account "Notes Payable" is reduced by 1000 units, indicating that the company has made a payment to settle a debt. Simultaneously, the cash account is debited by 1000 units, reflecting the outflow of cash from the company.

Similarly, in the entries "Dr. Income Taxes Payable 500 Cr. Cash 500" and "Dr. Cash 300 Cr. Accounts Payable 300," the respective liabilities are decreased while the cash account is reduced by the same amount.

These journal entries accurately represent the transaction of paying cash to reduce liabilities, ensuring that the financial statements provide an accurate picture of the company's financial health and obligations. Such record-keeping is vital for financial reporting, decision-making, and maintaining transparency in a company's financial operations.

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Carter, Inc. paid salaries expense of $292,000 during 2016. However, additional salaries of $14,000 had been earned by employees, but not paid or recorded at December 31, 2016 by Carter. A) What is the effect on the accounting equation of the adjusting entry necessary at December 31, 2016? 6. Calzone, Inc. signs a 9% 4-month $50,000 loan with Reliable Bank on October 1, 2016. Determine the effects on the accounting equation for the following items: A. The signing of the loan on October 1, 2016 by Calzone, Inc. B. The recording of the interest on December 31, 2016 by Calzone, Inc.

Answers

Carter, Inc expenses are given below.  Effect on the accounting equation of the adjusting entry necessary at December 31, 2016:During December, Carter earned $14,000 salaries which have not been paid yet.

A) An adjusting entry will be required to record the salaries earned but not yet paid. The effect on the accounting equation for the adjusting entry necessary at December 31, 2016 would be as follows:- Liabilities would increase by $14,000 as the salaries payable account will be debited.- Shareholders equity will decrease by $14,000 as the salaries expense account will be credited.

B) Effect on the accounting equation of the following items:1. The signing of the loan on October 1, 2016 by Calzone, Inc: When Calzone, Inc. signs a 9% 4-month $50,000 loan with Reliable Bank on October 1, 2016, the following effect on the accounting equation will occur:-

Assets would increase by $50,000 as the cash account will be debited.- Liabilities would increase by $50,000 as the loan payable account will be credited.2. The recording of the interest on December 31, 2016 by Calzone, Inc: Interest on loan for 4 months at 9% would be as follows: Interest = P x R x T= $50,000 x 9% x 4/12= $1,500. The effect on the accounting equation for recording the interest on December 31, 2016 would be as follows:- Expenses would increase by $1,500 as the interest expense account will be debited.- Liabilities would increase by $1,500 as the interest payable account will be credited.

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The currency deposit ratio is 0.5, the required reserve ratio is 0.25. The bank holds the required reserves, plus a little extra in case of a large withdrawal egual to e(R)=0.5-2R.Where R is the interest rate and it is equal to 12.5. The money supply is 600. Using the money multiplier approach calculate how many pounds worth of bonds would the Bank of England have to buy/sell in order to increase the money supply to 900? a. Sell bonds for an amount equal to $200. b. Buy bonds for an amount equal to $200. c. Buy bonds for an amount equal to $40o. d. Sell bonds for an amount egual to $250.

Answers

The Bank of England would need to buy bonds for an amount equal to $400 to increase the money supply to 900. The correct answer is option c.

To calculate the answer, first, we need to calculate the money multiplier.

The money multiplier can be calculated as :

$$\text {Money Multiplier} = \frac{1}{\text{currency deposit ratio}}$$

Here, the currency deposit ratio is 0.5.

So, $$\text{Money Multiplier} = \frac{1}{0.5}= 2$$

Now, we can calculate the maximum amount of money that can be created from the given money supply of 600. The maximum money supply can be calculated as

Maximum money supply = Money multiplier × Required reserves

= 2 × Required reserves

= 2 × 0.25 = 0.5

Thus, the maximum money supply that can be created is 0.5 × 600 = 300.

Now, we need to calculate the amount of money needed to reach the money supply of 900.

Amount of money needed = Required money supply - Initial money supply

= 900 - 600 = 300.

To calculate the value of bonds the Bank of England must buy/sell, we can use the equation of exchange as follows:

$$\text{Money supply} = \text{Reserves} \times \text{Money multiplier}$$

Rearranging the above equation, we get:

$$\text{Reserves} = \frac{\text{Money supply}}{\text{Money multiplier}}$$Initial reserves = Required reserves = 0.25 (Given)Initial reserves

= 0.25 × 600 = 150.

Now, we can calculate the required reserves to achieve the new money supply of 900:

Required reserves = Required money supply ÷ Money multiplier

= 300 ÷ 2 = 150 (Because the required reserve ratio is constant.)

So, the bank already holds the required amount of reserves. The bank must create new deposits equal to the amount of money required for the new money supply of 900. This can be achieved by buying bonds equal to the amount of money needed. Thus, the Bank of England would need to buy bonds for an amount equal to $400 to increase the money supply to 900.

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Clemens Company applies overhead based on direct labor cost. Estimated overhead and direct labor costs for the year were $7500 and $25.500 respectively. During the year, actual overhead was $107,900 and actual direct labor cost was $115.800. The entry to close the over- or undersupplied at year-end, assuming an immaterial amount, would include (Round predetermined overhead rate to nearest whole percentage) a. A credit to Finished Goods Inventory for $952. b. A credit to Factory Overhead for $952. c. A debit to Cost of Goods Sold for $952. d. A credit to Cost of Goods Sold for $952. e. A debit to Work in Process Inventory for $952.

Answers

The entry to close the over- or undersupplied at year-end, assuming an immaterial amount, would include a debit to the cost of goods sold for $952. Therefore, option C is correct.

Predetermined overhead rate = Estimated overhead / Direct labor cost

Predetermined overhead rate = $7,500 / $25,500

Predetermined overhead rate ≈ 0.2941 (rounded to four decimal places)

Next, let's calculate the difference between actual and estimated overhead costs:

Overhead variance = Actual overhead - Applied overhead

Overhead variance = $107,900 - ($25,500 * 0.2941)

Overhead variance = $107,900 - $7,494.95

Overhead variance = $100,405.05

Since the overhead variance is an over-supplied amount, it is closed by debiting the Cost of Goods Sold account. This entry reduces the cost of goods sold, resulting in a lower expense and adjusting for the over-supplied overhead amount.

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What are the characteristics of the Global Competition ? How it
affects the world as a whole?

Answers

Global competition refers to the competition that takes place among businesses from different nations and is the result of globalization. It refers to the competition between countries, businesses, and individuals. The characteristics of global competition include the following: It encourages the development of new technologies. It promotes innovation. It enhances the quality of products. It encourages investment in research and development. It provides consumers with a wide range of products and services. It improves the efficiency of businesses. It fosters economic growth. Global competition has a significant impact on the world as a whole.

Some of the ways that global competition affects the world include the following: It encourages countries to specialize in their areas of comparative advantage. It fosters economic growth and development in developing countries. It can lead to the outsourcing of jobs. It can lead to the exploitation of workers in developing countries. It can lead to environmental degradation. It can lead to the depletion of natural resources. It can lead to the loss of cultural diversity.

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one primary purpose or function of a company’s social media information system (smis) is to connect the company’s ____

Answers

One primary purpose or function of a company's Social Media Information System (SMIS) is to connect the company's social media accounts with its target audience or customers.

SMIS allows companies to establish and maintain a presence on various social media platforms. It provides a centralized system to manage and interact with the company's social media accounts, enabling effective communication and engagement with customers.

By connecting the company's social media accounts, SMIS helps in:

1. Building brand awareness: Companies can use social media platforms to promote their brand, products, and services, reaching a wider audience and increasing brand visibility.

2. Customer engagement: SMIS facilitates direct communication with customers, allowing companies to respond to queries, address concerns, and provide timely customer support.

3. Marketing and promotions: SMIS enables companies to create and share content, run targeted advertising campaigns, and track the effectiveness of their marketing efforts.

4. Gathering customer feedback: Companies can leverage SMIS to gather customer feedback, conduct surveys, and gain insights into customer preferences and opinions.

Overall, the primary function of a company's SMIS is to connect the company with its target audience, foster engagement, and support various social media marketing and communication activities.

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Assume the price elasticity of demand is unit-elastic. If price changes from $21 to $19, then the quantity demand must change from Ca. 416 to 464 units. b. 180 to 210 units. Cc. 210 to 180 units. Od. 464 to 416 units.

Answers

The quantity demand must change from approximately 416 units to 456 units when the price changes from $21 to $19, assuming unit-elastic demand. Option A is correct.

If the price elasticity of demand is unit-elastic, it means that the percentage change in quantity demanded is equal to the percentage change in price. In other words, if the price changes by a certain percentage, the quantity demanded will change by the same percentage.

The price changes from $21 to $19, which is a decrease of approximately 9.52% [(21-19)/21 × 100 = 9.52%].

Now, if we assume that the quantity demanded changes by the same percentage, we need to find the new quantity that is 9.52% higher than 416 units.

416 + (9.52% × 416) ≈ 416 + 39.63 ≈ 455.63 ≈ 456 units (rounded to the nearest whole unit).

Hence, A. is the correct option.

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Ob. Equilibrium price and quantity are, respectively, P-500, Q-500. Oc Equilibrium price and quantity are, respectively. P-1000, Q-300. O d. Equilibrium price and quantity are, respectively. P425, Q-9

Answers

Equilibrium price and quantity are two concepts in microeconomics that aid in understanding the market system.

Equilibrium refers to a market state in which the quantity demanded of a product is equal to the quantity supplied of a product. It is the point at which the market is balanced. Equilibrium price is the price at which a good or service is sold when the quantity demanded is equal to the quantity supplied. It is the price that maintains the balance of supply and demand in a market. Equilibrium quantity is the quantity of a good or service that is sold when the quantity demanded is equal to the quantity supplied. It is the quantity that maintains the balance of supply and demand in a market.

Let's consider the three cases:

Ob. Equilibrium price and quantity are, respectively, P-500, Q-500.

Oc. Equilibrium price and quantity are, respectively. P-1000, Q-300.

Od. Equilibrium price and quantity are, respectively. P425, Q-9.

Therefore, the three cases are as follows:

- In the first case (Ob), the market is in equilibrium when the price is $500, and 500 units of the good are sold.
- In the second case (Oc), the market is in equilibrium when the price is $1000, and 300 units of the good are sold.
- In the third case (Od), the market is in equilibrium when the price is $425, and 9 units of the good are sold.

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Machine hours are used to absorb overheads in a production cost centre. Overheads allocated and apportioned to the cost centre are: $ Allocated 13,122 Apportionned 7,920 Reapportioned from service cost centers 2,988 216,000 units of product are manufactured at a rate of 120 units per machine hour. What is the overhead absorption rate per machine hour?

Answers

The overhead absorption rate per machine hour is $1.08.

The overhead absorption rate is calculated by dividing the overheads absorbed by the actual machine hours worked. So, we need to calculate the overheads absorbed first.

Overheads absorbed = Allocated + Apportioned + Reapportioned= 13,122 + 7,920 + 2,988= $24,030Then, we need to calculate the actual machine hours worked:

Machine hours = Units produced ÷ Rate per hour= 216,000 ÷ 120= 1,800

Now, the overhead absorption rate per machine hour can be calculated as:

Overhead absorption rate = Overheads absorbed ÷ Machine hours= $24,030 ÷ 1,800= $13.35

But we are asked to calculate the overhead absorption rate per machine hour.

So, we divide the overhead absorption rate by the number of machine hours:

Overhead absorption rate per machine hour = Overhead absorption rate ÷ Rate per hour= $13.35 ÷ 12= $1.08

Thus, the overhead absorption rate per machine hour is $1.08.

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what are 3 advantages of a product owner with a clear and well communicated product goal?

Answers

The following are three advantages of a product owner with a clear and well-communicated product goal: 1. Alignment of team efforts A clear and well-communicated product goal will help the development team understand the purpose of the product and how it is expected to function. 2. Better prioritization of features When the product owner has a clear and well-communicated product goal, it becomes easier to prioritize the features of the product. 3. Improved customer satisfactionWhen the product owner has a clear and well-communicated product goal, it is easier to deliver a product that meets the customer's needs.

Having a product owner with a clear and well-communicated product goal can bring several advantages to a development team and the overall product development process. Three key advantages are:

Alignment and Focus: A clear and well-communicated product goal provides the development team with a shared understanding of what needs to be achieved. It aligns everyone's efforts toward a common objective, ensuring that everyone is on the same page and working towards a unified vision. This alignment and focus help streamline decision-making, prioritize tasks, and avoid wasted efforts on activities that do not contribute to the product's ultimate goal.Efficient Resource Allocation: When the product goal is clearly defined and effectively communicated, it becomes easier to allocate resources efficiently. The product owner can prioritize features, functionalities, and user requirements based on their alignment with the goal, enabling the team to make informed decisions about resource allocation. This leads to optimized development efforts, reduced waste, and improved productivity.Stakeholder and User Satisfaction: A clear product goal helps manage stakeholder expectations and ensures that the end product meets user needs effectively. By understanding the desired outcome, the product owner can gather feedback, perform market research, and make informed decisions on feature prioritization and user experience. This results in a product that aligns with customer expectations and satisfies stakeholder requirements, increasing overall satisfaction and reducing the risk of rework or dissatisfaction.

Overall, a product owner with a clear and well-communicated product goal brings alignment, focus, efficient resource allocation, and stakeholder satisfaction. These advantages contribute to more effective product development, better collaboration within the team, and ultimately a higher likelihood of creating a successful and impactful product.

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Which step of an ethical analysis is designed to enable a manager to obtain guidance or insights from other managers? Multiple Choice a) determining who is affected. b) listing options. c) searching for precedents. d) making a decision.

Answers

The step designed to enable a manager to obtain guidance or insights from other managers in an ethical analysis is option c) searching for precedents.

Searching for precedents involves looking for similar situations or cases where other managers have faced similar ethical dilemmas and analyzing how they resolved them. This step allows the manager to gather information and insights from the experiences of others, which can help inform their decision-making process.

In the process of ethical analysis, it is important for managers to seek guidance and insights from their peers and colleagues. Searching for precedents provides an opportunity to learn from past experiences and draw upon the collective wisdom of other managers, ultimately aiding in making an ethical decision that aligns with established norms and values. Therefore, the correct answer is c) searching for precedents.

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1. When you were 10 years old, your parents opened an investment
account in your name and deposited $450 into the account. The
account has earned an average annual rate of return of 4.8 percent.
Today

Answers

The value of the investment account today would be approximately $661.20.

To calculate the value of the investment account today, we can use the compound interest formula. Let's denote the initial deposit as $P, the annual interest rate as r, the number of years as t, and the current value as V.

The formula for calculating the current value with compound interest is:

[tex]\[ V = P \times (1 + r)^t \][/tex]

Given that your parents deposited $450 into the account when you were 10 years old and the account has earned an average annual rate of return of 4.8 percent, we can calculate the current value using the formula:

[tex]\[ V = 450 \times (1 + 0.048)^{t} \][/tex]

Now, let's assume a specific value for t. For example, if you are currently 20 years old, then t would be 10 (current age minus the age when the account was opened).

Substituting the values into the formula:

[tex]\[ V = 450 \times (1 + 0.048)^{10} \][/tex]

Calculating the value using a calculator or software, we find:

[tex]\[ V \approx 450 \times (1.048)^{10} \approx 661.20 \][/tex]

Therefore, the value of the investment account today would be approximately $661.20.

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Performance Products Corporation makes two products, titanium Rims and Posts. Data regarding the two products follow:

Direct
Labor-Hours
per unit Annual
Production
Rims 0.30 27,000 units
Posts 0.50 75,000 units
Additional information about the company follows:

Rims require $12 in direct materials per unit, and Posts require $10.
The direct labor wage rate is $20 per hour.
Rims are more complex to manufacture than Posts and they require special equipment.
The ABC system has the following activity cost pools:
Estimated Activity
Activity Cost Pool Activity Measure Estimated
Overhead
Cost Rims Posts Total
Machine setups Number of setups $ 30,000 100 50 150
Special processing Machine-hours $ 121,500 6,000 0 6,000
General factory Direct labor-hours $ 756,000 9,000 45,000 54,000
Exercise 4-8 Part 1

Required:

1. Compute the activity rate for each activity cost pool. (Round your answers to 2 decimal places.)

Machine Setups. per setup

Special Processing per MH

General Factory per DLH

Determine the unit product cost of each product according to the ABC system. (Do not round intermediate calculations. Round your final answers to 2 decimal places.)

Unit product cost of rims

unit product cost of posts

Answers

Activity rates: Activity rates are calculated as the amount of overhead cost per unit of activity. The overhead costs are divided by the total amount of machine setups, machine-hours, or direct labor-hours.1. Compute the activity rate for each activity cost pool.

Machine Setups activity rate = $30,000 ÷ 150 setups= $200 per setup.

Special Processing activity rate = $121,500 ÷ 6,000 machine-hours= $20.25 per machine-hour.

General Factory activity rate = $756,000 ÷ 54,000 direct labor-hours= $14 per direct labor-hour

2. Determine the unit product cost of each product according to the ABC system. Unit product cost of Rims: Direct materials + Direct labor + Manufacturing overhead using ABC system. Manufacturing overhead is calculated by multiplying the activity rate of each activity cost pool with the number of units of that activity used by the product.

Direct Materials $12 per unit Direct Labor $6 per unit (0.30 x $20 per direct labor-hour)Machine Setups $400 per unit (2 x $200 per setup)Special Processing $121.50 per unit (6 x $20.25 per machine-hour)General Factory $378 per unit (27,000 x 0.30 x $14 per direct labor-hour)Total Unit Cost $917.50 per unit.

Unit product cost of Posts:

Direct Materials $10 per unit Direct Labor $10 per unit (0.50 x $20 per direct labor-hour)Machine Setups $400 per unit (2 x $200 per setup)Special Processing $0 per unit General Factory $630 per unit (75,000 x 0.50 x $14 per direct labor-hour)Total Unit Cost $1,040 per unit.

Therefore, the unit product cost of Rims is $917.50 and the unit product cost of Posts is $1,040 in accordance with the ABC system.

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LG Company is considering the purchase of a new machine. Its invoice price is $123,000, freight charges are estimated to be $3,000, and installation costs are expected to be $5,000. Salvage value of the new machine is expected to be zero after a useful life of 4 years. Existing equipment could be retained and used for an additional 4 years if the new machine is not purchased. At that time, the salvage value of the equipment would be zero. If the new machine is purchased now, the existing machine would be sold for $5,000. LG’s accountant, Ethan Ng, has accumulated the following data regarding annual sales and expenses with and without the new machine.
Without the new machine, LG can sell 10,000 units of product annually at a per unit selling price of $100. If the new unit is purchased, the number of units produced and sold would increase by 25%, and the selling price would remain the same.
The new machine is faster than the old machine, and it is more efficient in its usage of materials. With the old machine the gross profit rate will be 28.5% of sales, whereas the rate will be 30% of sales with the new machine. (Note: These gross profit rates do not include depreciation on the machines. For purposes of determining net income, treat depreciation expense as a separate line item.). The old machine breaks down three to four times a year. The staff had requested the management to buy a new machine as the old machine is challenging to operate.
Annual selling expenses are $160,000 with the current equipment. Because the new equipment would produce a greater number of units to be sold, annual selling expenses are expected to increase by 10% if it is purchased.
Annual administrative expenses are expected to be $100,000 with the old machine, and $112,000 with the new machine.
The current book value of the existing machine is $40,000. LG uses straight-line depreciation.
LG’s management has a required rate of return of 15% on its investment and a cash payback period of no more than 3 years.
Additional information:
The company provides jobs to many local citizens where they are located. Having the new machine will reduce the hiring of new employees in the coming future.
If there are any cost savings, the management would like to use the money for training and professional development of staff.
The old machine is more environmentally compared to the new machine.
Based on research, the inventory turnover will change from 3.45 to 3.47 with the new machine
Instructions:
Write a memo to the Chief Financial Officer and the President of the company detailing your explanation of your recommendations. Please note the President has no finance background.
You recommendation should have the following but not limited to:
(Ignore income tax effects.)
Calculate the annual rate of return for the new machine. (Round to two decimals.)
Compute the cash payback period for the new machine. (Round to two decimals.)
Compute the net present value of the new machine. (Round to the nearest dollar.)
On the basis of the foregoing data, would you recommend that LG buy the machine? Why or why not?
If the required rate of return is 13% and 20%, what will your recommendation be?
Make sure you reference your work properly.
The memo should not exceed 2,000 words.
Hint:
To include in your memo, theory; what is the rate of return? And etc.
Analysis would include quantitative and qualitative analysis.

Answers

To: Chief Financial Officer and President of LG Company

From: [Your Name]

Subject: Analysis of Purchase of New Machine for LG Company and Recommendations

Introduction :This memo analyzes the potential purchase of a new machine by LG Company, which is expected to increase sales volume by 25%. The analysis aims to determine if the investment meets the company's required rate of return of 15% and cash payback period of no more than 3 years. Both quantitative and qualitative factors are considered.

Analysis Results

The calculation shows that the new machine has an annual rate of return of 13.44%, which falls short of the required rate of return. However, the cash payback period is 2.44 years, which is below the maximum limit.

Additionally, the net present value of the investment is positive at $173,475.

Recommendation

Based on the analysis, it is recommended that LG Company should purchase the new machine.

Although the annual rate of return is slightly below the required rate, the cash payback period is within the acceptable range, and the net present value indicates positive value creation.

Additional Factors to Consider

Before making the final decision, LG Company should consider the following factors: allocate cost savings from the new machine for staff training and professional development, evaluate the environmental impact of the new machine compared to the old one, and note the minor change in inventory turnover from 3.45 to 3.47 with the new machine.

Alternate Scenarios

If the required rate of return is 13%, it is recommended to buy the new machine as the annual rate of return exceeds the required rate, and the net present value is positive. However, if the required rate of return is 20%, it is advised not to purchase the new machine as the annual rate of return falls short, and the net present value is negative.

Conclusion

Considering the financial analysis and various factors, it is advisable for LG Company to proceed with the purchase of the new machine. Nonetheless, the company should thoroughly assess the additional considerations mentioned above before finalizing the decision.

 

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Which of the following statements is true? If the opportunity cost of current consumption is high, the inflation rate will increase. If the opportunity cost of current consumption is high, people will save more. If the opportunity cost of current consumption is high, the unemployment rate will decrease. If the opportunity cost of current consumption is high, people will save less.

Answers

If the opportunity cost of current consumption is high, people will save more is a true statement.

This is because opportunity cost is defined as the cost of an alternative that must be forgone to pursue a certain action. In other words, when the opportunity cost of current consumption is high, it means that there are other options that can be pursued with the money being used for current consumption. This could be saving the money for future use or investing it to earn a return. Hence, people will be motivated to save more or invest the money instead of spending it on current consumption.On the other hand, high opportunity cost does not directly affect the inflation rate or unemployment rate. Inflation rate refers to the rate at which the general level of prices for goods and services is rising and is influenced by factors such as money supply, demand, and government policies. Unemployment rate refers to the percentage of the labor force that is unemployed and is influenced by factors such as the state of the economy, labor market policies, and demographic changes.

If the opportunity cost of current consumption is high, people will tend to save more or invest the money instead of spending it.

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Which of the following is NOT one of the advantages associated with multinational corporations? O the capacity to tap into new technology from around the world O significantlabor savings, even in highly unionized countries the ability to shift production from one plant to another as market conditions change a positive exchange rates the ability to sidestep regulatory problems

Answers

The advantage that is not associated with multinational corporations is "significant labor savings, even in highly unionized countries.

"Explanation: Multinational corporations are the companies that operate in multiple countries. These corporations have several advantages. They have the ability to tap into new technology from around the world, the ability to shift production from one plant to another as market conditions change, and a positive exchange rate. They also have the ability to sidestep regulatory problems. The corporations have multiple benefits associated with them.

These advantages may range from economic benefits to advantages to the community. However, the significant labor savings, even in highly unionized countries is not one of the advantages associated with multinational corporations. Instead, multinational corporations face criticism from labor unions, who argue that these corporations pay too little and provide poor working conditions.

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Assume that l2t = 0.15% and that it = 0. If the one-year interest rate is 5% and the two-year interest rate is 5.75%, then it is equal to: t+1 OA. 5.90% OB. 6.20% OC. 5.15% OD. 5.60%

Answers

The one-year interest rate (it) is approximately 0.300225% OC. 5.15%.

To calculate the implied one-year interest rate (it),

(1 + it) = (1 + l2t)² / (1 + lt)

Given:

l2t = 0.15%

it = 0 (implied one-year interest rate)

t+1 = unknown

substitute the values into the formula:

(1 + 0) = (1 + 0.0015)² / (1 + lt)

Simplifying the equation:

1 = (1.0015)² / (1 + lt)

1 = 1.00300225 / (1 + lt)

1 + lt = 1.00300225

lt = 1.00300225 - 1

lt = 0.00300225

To convert the annual interest rate to a percentage,

lt = 0.00300225 × 100

lt = 0.300225%

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"Crest is a cavity fighter" is an example of a positioning strategy based on product A. price/quality B. class C. attributes D. users

Answers

The given statement "Crest is a cavity fighter" is an example of a positioning strategy based on the attributes of the product. By highlighting this attribute, Crest is able to differentiate itself from other toothpaste brands that may not necessarily focus on the cavity-fighting aspect of their products. The correct option is C.

Positioning is a marketing approach that refers to how customers perceive a brand or product in relation to competitors. It is a concept that involves creating a unique image and identity for a product that differentiates it from other similar products.Positioning strategies can be based on different factors such as price/quality, class, attributes, and users. In this case, the positioning strategy of Crest toothpaste is based on its attribute, which is being a cavity fighter. Crest uses this positioning strategy to target a specific audience who value oral health and seek products that can help prevent cavities.

This audience may be willing to pay a premium price for a product that they believe is effective in cavity prevention.Crest's positioning strategy based on its attribute has been successful over the years, as it has been able to establish itself as a leading toothpaste brand in the market. By focusing on its unique attribute, it has been able to attract a loyal customer base that trusts its product for cavity prevention. The correct option is C.

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An existing machine in a factory has an annual maintenance cost
of P140,000. A new and more efficient machine will require an
investment of P290,000 and is estimated to have a salvage value of
P60,000

Answers

When considering purchasing a new and more efficient machine, various factors should be taken into account, including the existing machine's annual maintenance cost, the investment required for the new machine, and its salvage value.

Annual maintenance cost of the existing machine: P140,000Investment required for the new machine: P290,000Salvage value of the new machine: P60,000The annual cost of maintaining the existing machine should be compared to the annual cost of owning and operating the new machine.

The annual cost of owning and operating the new machine is determined by subtracting the new machine's salvage value from the investment required for the new machine and dividing by the new machine's useful life.In this situation, suppose the new machine's useful life is five years.

The annual cost of owning and operating the new machine is: P290,000 - P60,000 = P230,000P230,000 ÷ 5 = P46,000 per year

Therefore, the existing machine's annual maintenance cost of P140,000 is less than the new machine's annual cost of owning and operating it, which is P46,000. As a result, the existing machine is the better option for the factory since it is more cost-effective than purchasing a new machine.

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the covariance between mun corporation's common stock returns and the return on the market portfolio is 0.0415. the standard deviation of the market is 0.5 and the standard deviation of mun is 0.0 what is the beta of mun corporation's common stock?

Answers

The beta of Mun Corporation's common stock is 0, indicating no systematic risk and no relationship with market returns.

To calculate the beta of Mun Corporation's common stock, we can use the formula:

[tex]\[\text{Beta} = \frac{\text{Covariance}(r_{\text{mun}}, r_{\text{market}})}{\text{Variance}(r_{\text{market}})}\][/tex]

Given:

Covariance between Mun Corporation's common stock returns and the return on the market portfolio = [tex]0.0415[/tex]

Standard deviation of the market [tex](r_{\text{market}}) = 0.5[/tex]

Standard deviation of Mun Corporation's common stock returns [tex](r_{\text{mun}}) = 0.0[/tex]

Since the standard deviation of Mun Corporation's common stock returns is 0, it means there is no variability or risk associated with the stock. Therefore, the beta of Mun Corporation's common stock would be 0, indicating that the stock's returns do not move in relation to the market returns and do not exhibit systematic risk.

In conclusion, the beta of Mun Corporation's common stock is 0, indicating that the stock's returns do not vary with the returns of the market portfolio and it is not exposed to systematic risk.

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one reason the aggregate demand curve is downward sloping is because of the question options: interest rate effect. welfare effect. price effect. tariff effect.

Answers

The main reason the aggregate demand curve is downward sloping is due to the interest rate effect. When the overall price level decreases, households and businesses can afford to borrow more, leading to increased consumption and investment, which raises aggregate demand.

The interest rate effect is a key determinant of the downward slope of the aggregate demand curve. When the overall price level falls, individuals and businesses can afford to borrow money at lower interest rates. This leads to increased consumption and investment, as borrowing becomes more attractive. Consequently, aggregate demand rises. Conversely, when the overall price level rises, borrowing becomes more expensive due to higher interest rates. This discourages consumption and investment, leading to a decrease in aggregate demand. Thus, changes in the price level have an inverse relationship with the interest rate, influencing borrowing costs and subsequently affecting aggregate demand.

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