Answer:
(b) 729
Step-by-step explanation:
9 × 9 × 9 = 9^3 = 729
Thus, 9 is the cube root of 729
Premier Consulting’s two consultants, Avery and Baker, can be scheduled to work for clients up to a maximum of 160 hours each over the next four weeks. A third consultant, Campbell, has some administrative assignments already planned and is available for clients up to a maximum of 140 hours over the next four weeks. The company has four clients with projects in process. The estimated hourly requirements for each of the clients over the four-week period are as follows:
Client Hours
A1 180
B2 75
C3 100
D4 85
Hourly rates vary for the consultant–client combination and are based on several factors, including project type and the consultant’s experience. The rates (dollars per hour) for each consultant–client combination are as follows:
Client
Consultant A B C D
Avery1 100 125 115 100
Baker2 120 135 115 120
Campbell3 155 150 140 130
a. Develop a network representation of the problem.
b. Formulate the problem as a linear program, with the optimal solution providing the hours each consultant should be scheduled for each client to maximize the consulting firm’s billings. What is the schedule and what is the total billing?
c. New information shows that Avery doesn’t have the experience to be scheduled for client B. If this consulting assignment is not permitted, what impact does it have on total billings? What is the revised schedule?
Answer:
The correct network diagram is the first one.
Step-by-step explanation:
Max 100 x 11 + 115 x 23 + 125 x 12 + 120 x 24 + 1 x 12 + 120 x 21 + 140 x 33 + 135 x 22 + 130 x 34 + 115 x 13 + 155 x 31 + 1
Excel formulation:
А B с D E F G H 1 1 2 2 3 4 5 6 7 Flow RHS Avery =SUM(C3:06) 160 Baker =SUM(C7:C10) 160 Campbell =SUM(C11:C14) 140 A =SUM(C3,
Solver inputs:
Set Objective: $D$15 To: Max Min O Value Of: 0 By Changing Variable Cells: $C$3:$C$14 + Subject to the Constraints: $G$3:$G$5
Solution:
Amount Billing
Avery-Client A 0 0
Avery-Client B 40 5000
Avery-Client C 100 11500
Avery-Client D 0 0
Baker-Client A 40 4800
Baker-Client B 35 4725
Baker-Client C 0 0
Baker-Client D 85 10200
Campbell-Client A 140 21700
Campbell-Client B 0 0
Campbell-Client C 0 0
Campbell-Client D 0 0
Total Billing 57925
Make 'Avery to B' zero in the solver entry and run the model again:
Amount Billing
Avery-Client A 0 0
Avery-Client B 0 0
Avery-Client C 100 11500
Avery-Client D 40 4000
Baker-Client A 40 4800
Baker-Client B 75 10125
Baker-Client C 0 0
Baker-Client D 45 5400
Campbell-Client A 140 21700
Campbell-Client B 0 0
Campbell-Client C 0 0
Campbell-Client D 0 0
Total Billing 57525
A local grocery store sells frozen fish sticks in packages of 18. If the cost for a package of frozen fish sticks is $1.95, what is the approximate cost per frozen fish stick?
Answer:
Rounded to the nearest tenth, $.0.11 per fish stick
Step-by-step explanation:
I divided the cost of the fish sticks, $1.95, and how many in each pack, 18, so the answer was 0.10833333333... and that rounded would be $0.11
Hope this Helps
I need help with this
Answer:
Your answer is C. x=6 I hope this helps you! :D
If you need i can also provide steps.
Answer:
C. x=6
Step-by-step explanation:
You can work it out as follows:
6 - 0.2x = 2(6 - 0.6x) =>
6 - 0.2x = 12 - 1.2x =>
-0.2x + 1.2x = 12 - 6 =>
1.0x = 6 =>
x = 6
three employees each clocked a different number of hours worked this week.
Which employee has the highest earnings per hour?
Answer:
?
Step-by-step explanation:
There is missing information. Ask this question again but with a picture showing how much the 3 employees worked/how much they each get per hour and I'll be glad to help.
Solve equation for 3(2x - 5) - (2x - 5) = 6(4x + 5)
Answer:
the answer is negative two / x= -2
_________
[tex] \: [/tex]
[tex] \rm3(2x - 5) - (2x - 5 ) = 6(4x + 5)[/tex]
[tex] \rm6x - 15 - 2x - 5 = 24x + 30[/tex]
[tex] \rm4x - 20 = 24x + 30[/tex]
[tex] \rm4x - 24x = 30 + 20[/tex]
[tex] \rm - 20x = 50[/tex]
[tex] \rm \: x = \frac{50}{ - 20} [/tex]
[tex] \rm \: x = \boxed{ - 2 \frac{1}{2} }[/tex]
rick haskins is payed $18 an hour as a pastry chef for a regular 35-hour week his over time rate is 1.5 times his regular hourly rate this week he worked his regular 35 hours plus 8 hours of overtime what is ricks total pay
please help me with this sum
its upsidedown what are you doing
Find the perimeter of the
triangle.
16% + 16) cm
(9%-11) cm
Answer:
Step-by-step explanation:
Three equal sides, so lets find one by solving for x
6x + 16 = 9x-11
-3x = -27
x = 9
6(9) + 16 = 70
9(9) - 11 = 70
70(3) = 210 cm
******Please help me help please help me ******
9514 1404 393
Answer:
-19/7
Step-by-step explanation:
If the variation is direct, any multiplier of the m-value will also multiply the f-value.
old value × 1/7 = new value
m: 14 × 1/7 = 2
f: -19 × 1/7 = -19/7
The new value of f is -19/7.
ASAP Lots of points!! 100 points!! Which expression is equivalent to 2^4 ⋅ 2^−7?
(Remember 2 to the power of 4 x 2 to the power of -7 = 0.125)
1 over 2 to the power 11
1 over 2 to the power 3
2 to the power of 3
2 to the power of 11
you can cancel out 2^11 and 2^3
Answer:
the answer for this is:
subtract 7 from 4 to get -3
you then have 2^-3
remove the negative exponent by rewriting as 1/(2^3)
Step-by-step explanation:
What is the equation of the line that has a slope of 3 and a y-intercept of 2?
The equation of a line is written as t = ax + b where a is the slope and b is the y-intercept.
Using the slope and y intercept given the equation is:
Y = 3x + 2
3+(-5)+9-12÷2
lol easy
Please help me help please help
Answer: 1/2
Step-by-step explanation: it is 1/2 because the 2 points are 2 away on the x an is 1 on the y so it is 1/2.
PLEASE HELP!!! i don’t know the answer and it’s due tmr!!
look at the image of the graph
Consider the following functions. f1(x) = x, f2(x) = x2, f3(x) = 2x − 4x2 g(x) = c1f1(x) + c2f2(x) + c3f3(x) Solve for c1, c2, and c3 so that g(x) = 0 on the interval (−[infinity], [infinity]). If a nontrivial solution exists, state it. (If only the trivial solution exists, enter the trivial solution {0, 0, 0}.) {c1, c2, c3} = $$ Correct: Your answer is correct. Determine whether f1, f2, f3 are linearly independent on the interval (−[infinity], [infinity]).
9514 1404 393
Answer:
(c1, c2, c3) = (-2t, 4t, t) . . . . for any value of tNOT linearly independentStep-by-step explanation:
We want ...
c1·f1(x) +c2·f2(x) +c3·f3(x) = g(x) ≡ 0
Substituting for the fn function values, we have ...
c1·x +c2·x² +c3·(2x -4x²) ≡ 0
This resolves to two equations:
x(c1 +2c3) = 0
x²(c2 -4c3) = 0
These have an infinite set of solutions:
c1 = -2c3
c2 = 4c3
Then for any parameter t, including the "trivial" t=0, ...
(c1, c2, c3) = (-2t, 4t, t)
__
f1, f2, f3 are NOT linearly independent. (If they were, there would be only one solution making g(x) ≡ 0.)
A woman invested $15,000 part in 7% stocks and the remainder in 9% bonds. If her yearly yield from both investments is $1,230.00, how much did she invest at each rate?
Using the simple interest relation, the amount invested in stocks and bond respectively is $15,000 and $2000
Simple interest
Principal × rate × timeLet her total principal = p
Stock :
Interest = 15000 × 0.07 × 1 = 1050Bond :
Interest = (p - 15000) × 0.09 = 0.09p - 1350Total interest earned :
1050 + 0.09p - 1350 = 1230
-300 + 0.09p = 1230
0.09p = 1230 + 300
0.09p = 1530
p = $17000
Hence,
Amount invested in stock at 7% = $15000
Amount invested in bond at 9% = $17000 - 15000 = $2000
Learn more : https://brainly.com/question/25297296
Writing Describe another method
for solving the expression in
Exercise 1. Does this method always
work? Explain.
Answer: pontos livres
Step-by-step explanation:
o cachorrinho wwss veyry rápido
Show how to use a power of 10 to write 42.66 / 2.97 as an equivalent expression with a whole number divisor
PLEASE HELP DUE TONIGHT!!
WILL MARK BRAINLIEST!!
Expressing the given equation as a power of 10 with the divisor expressed as an whole number can be written as [tex] \frac{42.66 \times 10^{2}}{297}[/tex]
Given the expression :
42.66/2.97Expressing the numbers as a power of 10 :
Dividend = 42.66 Divisor = 2.97To convert the divisor to a whole number :
Multiply both by 100
Dividend = 42.66 × 100Divisor = 2.97 × 100 = 297Expressing dividend as a power of 10 :
Dividend = 42.66 × 100 = 42.66 × 10²Hence, the equivalent equation would be : [tex] \frac{42.66 \times 10^{2}}{297}[/tex]
Learn more : https://brainly.com/question/18796573
50 tickets need sold but only 9 have been sold what percent have been sold?
Answer:
18%
Step-by-step explanation:
Mercury is one of only two elements that are liquid at room temperature. Mercury is nonliquid for
temperatures less than -38.0°F or greater than 673.8°F. Write a compound inequality for the temperatures
at which mercury is nonliquid.
Answer:
greater than 673.8°F. Write a compound
Step-by-step explanation:
I’m doing my math homework and I don’t understand it all. I did most of it in class but I don’t get it still so here’s the question
Question:
-4/3(3q -10)
Answer:
-4q+ 40/3
Step-by-step explanation:
Solve for x: 34= -2
x= ????
Answer:
You haven't typed the equation correctly
x=-17
Step-by-step explanation:
A line passes through the point (2,8) and has a slope of 7
Answer:
y=7x-6
Step-by-step explanation:
Use point-slope equation.
y-y1=m(x-x1)
y-8=7(x-2)
y-8=7x-14
y=7x-6
which is an appropriate estimate for the following 62,372/29?
Answer:
=62372/29
=2150.758621 ans.
mark me brainlist plz.
Answer:
Step-by-step explanation:
62,372/29 = about 2150
Find the y -intercept of the line with equation y=4x+6
Answer: The y-intercept of this equation is 6.
Explanation: When doing slope intercept form, the formula is y = mx + b. "M" is slope, and "B" is y-intercept. In this equation, 4 is the slope and 6 is the y-intercept.
For a standard normal distribution, find:
P(z < 2.51) =
Answer:
P(z < 2.51) ≈ 0.994
Step-by-step explanation:
P(z < 2.51) = normalcdf(-1e99,2.51,0,1) = 0.9939634253 ≈ 0.994
hi, can you help me here pls?
...
...
what is 240.50 x 19.54
Answer:
240.50 x 19.54= 4699.37
what is 5/8x+4=3/8x+12
Answer:
x = 32
(The answer should be 32 if we are solving for x)
A scuba diver is descending at an average rate of 39.8 feet per minute.
What value represents the scuba diver's elevation relative to sea level after 2.9 minutes?
Enter your answer in the box.
ft
Plzzzz help I will give u brainly
Answer: 115.42 ft
Step-by-step explanation: