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?

Answers

Answer 1

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


Related Questions

2. ĐỊNH THỨC
2.1. Giải phương trình:
2 3 1
1 2 4 8 0
1 3 9 27
1 4 14 64

Answers

Answer:

Step-by-step explanation:

Uhm the third one number 3

Para monetizar contenidos en una red social, los videos nuevos que sean subidos deben superar las 1300 visitas diarias, y para monetizar los antiguos, han de tener mínimo 3000 visualizaciones y acumular 1000 visitas diarias.

¿Con qué expresiones algebraicas se pueden visualizar las visitas que han de tener cada día ambos tipos de video?

Answers

Answer:

Upcoming technology made of large organic molecules and genetically engineered protein is calledRelated to the Business means, directly or indirectly, used in, arising from or relating in any manner to the BusinessWelcome to Gboard clipboard, any text you copy will be saved here.

WHYYY ARE BOTS ON HERE HM HM?!

Answers

Answer:

Well it's because they want children to click there links for either tracking IP address's or just using it to bring you to another site.

Step-by-step explanation:

Find a point E on CD such that the ratio of CE to CD is [tex]\frac{3}{8}[/tex].

Answers

Answer:

Sorry if it’s wrong. But I think the answer is: -3

Step-by-step explanation:

Formula:

E= x1 + a/b (x2 -x1)

E=-9 + 3/8(7+9)

E= -9 + 3/8(16)

E= -9 + 6

E= -3

The location of point E will be at negative  3. Then the correct option is C.

What is the section of the line?

Let A (x₁, y₁) and B (x₂, y₂) be a line segment. Then the point P (x, y) divides the line segment in the ratio of m:n. Then we have

x = (mx₂ + nx₁) / (m + n)

y = (my₂ + ny₁) / (m + n)

The information is given below.

CE / CD = 3 / 8

CE / ED = 3 / 5 = m / n

Then the location of the point E will be

x = [3 × (7) + 5 × (-9)] / (3 + 5)

x = (21 - 45) / 8

x = - 24 / 8

x = -3

Thus, the location of point E will be at negative  3. Then the correct option is C.

More about the section of the line link is given below.

https://brainly.com/question/6582647

If 2+√3/2-√3= a+b√3 Find a and b ​

Answers

Answer:

a = 7, b = 4

Step-by-step explanation:

Simplify the left side:

(2 + √3)/(2 - √3) = (2 + √3)(2 + √3)/(2 + √3)(2 - √3) =(4 + 4√3 + 3)/(4 - 3) =7 + 4√3

Compare with the right side:

a = 7, b = 4

The cost of a meal is split evenly between Alania and her two friends. They determine that each person owes $14.68. How much was the entire cost of the meal?

Answers

Answer:

$44.04

Step-by-step explanation:

let 3 be the number of people and 14.68 the person owes

3*14.68 = 44.04

A city has a population of 280,000 people. Suppose that each year the population grows by 4.75% . What will the population be after 7 years ? Use the calculator provided and round your answer to the nearest whole number.

Answers

8.75% = 0.0875 P(t) = Initial Population * (1 + rate)t P(t) = 280,000(1 + 0.0875)t P(t) = 280,000(1.0875)t P(9) = 280,000(1.0875)9 P(9) = 595,692

(p²qr + pq²r + pqr²)(-pq + qr - pr)
Please solve this problem as soon as possible.​

Answers

Answer:

−p3q2r−p3qr2−p2q3r−p2q2r2−p2qr3+pq3r2+pq2r3

Step-by-step explanation:

(p2qr+pq2r+pqr2)((−p)(q)+qr+−pr)

(p2qr)((−p)(q))+(p2qr)(qr)+(p2qr)(−pr)+(pq2r)((−p)(q))+(pq2r)(qr)+(pq2r)(−pr)+(pqr2)((−p)(q))+(pqr2)(qr)+(pqr2)(−pr)

−p3q2r+p2q2r2−p3qr2−p2q3r+pq3r2−p2q2r2−p2q2r2+pq2r3−p2qr3

−p3q2r−p3qr2−p2q3r−p2q2r2−p2qr3+pq3r2+pq2r3

[tex]\large\underline{\sf{Solution-}}[/tex]

Given that:

[tex]\sf\longmapsto(p^2qr+pq^2r+pqr^2)(-pq+qr-pr)[/tex]

Opening the brackets,

[tex]\sf\longmapsto p^2qr(-pq+qr-pr) + pq^2r(-pq+qr-pr) + pqr^2(-pq+qr-pr)[/tex]

Opening the next brackets,

[tex]\sf\longmapsto p^2qr(-pq)+ p^2qr(qr)- p^2qr(pr) + pq^2r(-pq)+ pq^2r(qr)- pq^2r(pr) + pqr^2(-pq)+ pqr^2(qr)- pqr^2(pr)[/tex]

So,

[tex]\sf\longmapsto -p^3q^2r+ p^2q^2r^2- p^3qr^2 - p^2q^3r+ pq^3r^2- p^2q^2r^2-p^2q^2r^2+ pq^2r^3- p^2qr^3[/tex]

[tex]\sf\longmapsto -p^3q^2r- p^3qr^2 - p^2q^3r+ pq^3r^2+ pq^2r^3- p^2qr^3+ p^2q^2r^2-2p^2q^2r^2 [/tex]

[tex]\sf\longmapsto -p^3q^2r- p^3qr^2 - p^2q^3r+ pq^3r^2+ pq^2r^3- p^2qr^3- p^2q^2r^2 [/tex]

Hence, the product is,

[tex]\longmapsto\bf -p^3q^2r- p^3qr^2 - p^2q^3r- p^2qr^3+ pq^3r^2+ pq^2r^3 - p^2q^2r^2 [/tex]

You read online that a 15 ft by 20 ft brick patio would cost about $2,275 to have professionally installed. Estimate the cost of having a 23 by 28 ft brick patio installed

Answers

Answer:

$4884 to the nearest $.

Step-by-step explanation:

By proportion it is  2275 *  (23*28) / (15*20)

= $4884

a number is ____ by another number if the quotient is a counting number and the remainder is 0.

Answers

A number is divisible by another number if the quotient is a counting number and the remainder is 0.

You have been asked to build a tree house with a floor that is twice as long as it is wide. You have only a certain amount of wood you can use. Which of these strategies would you be most likely to use while planning the tree
house?

A. Work backward.

B. Draw a diagram.

C. Find a pattern.

D. Act it out.

Answers

9514 1404 393

Answer:

  B. Draw a diagram.

Step-by-step explanation:

Most construction starts with a diagram.

_____

Additional comment

You may actually start by finding a pattern you like, then figuring the material required to construct the pattern, then working backward to determine the dimensions you need to use to stay within your material budget. You will probably draw a diagram at many points in the planning process.

add the fraction 9/+1 1/6=10 1/4​

Answers

Answer:

41/4

Step-by-step explanation:

If you solve an equation by graphing each side separately, which of these is the solution to the equation?

A. the x-coordinate of the intersection point
B. the y-coordinate of the intersection point
C. both the x- and the y-coordinates of the intersection point
D. There is only a solution if the lines are identical.

Answers

9514 1404 393

Answer:

  A. the x-coordinate of the intersection point

Step-by-step explanation:

If you are solving ...

  f(x) = g(x)

the solution is one or more values of x. That is still true if you rewrite the equation to be a system of equations ...

  y = f(x)

  y = g(x)

The value of y tells you the value of each side of the original equation where the solution causes the functions to be equal. That is largely irrelevant. What you're looking for is the value of x.

The solution is the x-coordinate of the intersection point.

Pls help and answer the question in the photo

Answers

Answer:

Cam

Step-by-step explanation:

Cam first multiplied both sides by 3 which removed the fraction on the left. They then correctly added 5 to both sides to get x on its own.

Hope this helps!

What is the solution to the equation?
-4 = 1
.
Enter your answer in the box.
X=

Answers

Step-by-step explanation:

I'm not sure about my answer

1) Eight times the difference between a number and seven, is the same as when five times
the number is increased by four. Find the number.

Answers

Tip: Go step-by-step

Let the number = x

Eight times the difference between a number and seven.. = 8(x-7)

is the same as... =

the number increased by 4.. x+4

8(x-7)=x+4

Distribute

8x-56=x+4

Subtract x from both sides

7x-56=4

Add 56 to both sides

7x=60

x=60/7

How many solutions does this equation have?

–7c = –7c + 3

Answers

Answer:

0

Step-by-step explanation:

If you move like terms to one side you'll get

-7c + 7c = 3

0c =3

0 = 3

cannot be true, so there are zero solutions

solve pls brainliest

Answers

2 4/9 hope this is right

Answer:

2 4/9

Step-by-step explanation:

1. To change an improper fraction to a mixed number, divide the numerator by the denominator. Then, write down the quotient as the whole number and the remainder (left over amount) as the numerator. Remember to NOT change the denominator.

2. Given the information above:

22 ÷ 9 = 2 R 4 2 4/9

Therefore, 22/9 as a mixed number is 2 4/9.

At a local pizza parlor, patrons have 3 choices of cheese and 5 choices of meat. In how many different ways can a patron choose 1 type of cheese and 1 type of meat? 10 30 o 15 0 8 o Termsat a local pizza parlor that runs has three choices of cheese and five choices of meat in how many different ways can a pageant use one type of cheese and what type of meat ​

Answers

Answer:15

Step-by-step explanation:

Please help!

Triangle ABC has angle measures as shown. Show work. Complete sentence.




(a) What is the value of x?








(b) What is the measure of angle CBA?




(c) What is the measure of angle CAB?




(d) When these 3 interior angles of a triangle are added together, what does it equal?

Answers

9514 1404 393

Answer:

  (a) x = 22

  (b) 46°

  (c) 44°

  (d) 180°

Step-by-step explanation:

Because the sum of the interior angles of a triangle is 180°, we know that the sum of the acute angles in a right triangle is 90°.

(a)

The sum of the marked acute angles is 90°.

  2x +(3x -20) = 90

  5x = 110 . . . . . . . . . . add 20, collect terms

  x = 22 . . . . . . . . . divide by 5

__

(b)

∠CBA = (3x -20)° = (3·22 -20)° = 46°

__

(c)

∠CAB = 2x° = 2(22)° = 44°

__

(d)

The sum of a triangle's interior angles is 180°.

How can you compare data sets?

Answers

When you compare two or more data sets, focus on four features:

Center. Graphically, the center of a distribution is the point where about half of the observations are on either side.

Spread. The spread of a distribution refers to the variability of the data. ...

Shape. ...

Unusual features.

Answer:

Common graphical displays (e.g., dotplots, boxplots, stemplots, bar charts) can be effective tools for comparing data from two or more data sets.

Step-by-step explanation:

MARK ME AS A BRAINLIST PLZ

Choose the system for this graph

Answers

9514 1404 393

Answer:

  C

Step-by-step explanation:

Judging by the answers, the lines have slopes of 7/3 and 2/5. (We could verify this by close examination of the graph.) The shading is above (greater than) the line with the smaller slope value (2/5), and below (less than) the line with the steeper slope value (7/3).

That means we're looking for a pair of inequalities with the symbols ...

  y ≥ 2/5x ...

  y ≤ 7/3x ...

This combination is found in choice C.

c: how long does it take the snail to crawl 85 inches

NEED ANSWER ASAPP PLSSS

INCLUDES PICTURE OF GRAPH

Answers

Answer:

8 minutes, 30 seconds, by the look of the graph.

Step-by-step explanation:

At a distance of 10 inches, 1 minute has passed.

So multiply that by 8.5, and you have 85 inches travelled over 8 minutes, 30 seconds.

8mins and some 30secs according to the graph

a positive real number is 4 less than anther of the sum of the squares of the two numbers is 72 then find the numbers.​

Answers

Answer:

3.657 and 7.657 to the nearest thousandth.

Step-by-step explanation:

x - y = 4

x^2 + y^2 = 72

From equation 1

x = y + 4 so

(y + 4)^2 + y^2 = 72

y^2 + 8y + 16 + y^2 - 72 = 0

2y^2 + 8y - 56 = 0

y^2 + 4y - 28 = 0

y = 3.657.

so x = 7.657.

solve pls brainliesttt

Answers

Answer:

-343

-125

Here you go

Answer:

1. -343

2. 25

3. v+21=47   v= 26

Step-by-step explanation: Hope this helps!

Can you help me with this? I’m stuck

Answers

Answer:

The answer is x^2 + 3^2

Step-by-step explanation:

Answer:

answer ::::: x^2 + 6x + 9

pls help me i need to finish this

Answers

Answer:

-1 = -2

0 = 0

1 = 2

2 = 4

Step-by-step explanation:

-1 x 2 = -2

0 x 2 = 0

1 x 2 = 2

2 x 2 = 4

Since the equation says y = 2x, you must multiply every x factor by 2 to get your answer.

-kiniwih426

Jessie recently drove to visit her parents who live 570 miles away. On her way there her average speed was 25 miles per hour faster than on her way home (she ran into some bad weather). If Jessie spent a total of 19 hours driving, find the two rates (in mph). Round your answer to two decimal places, if needed.

Jessie's average speed to her parents' house: ___________ mph

Jessie's average speed from her parents' house: ___________ mph

Answers

Answer:

Step-by-step explanation:

Let v be her average speed from her parents house

Let t₁ be the time traveled to parents house

Let t₂ be the time traveled from parents house

t₁ + t₂ = 19

t₁ = 19 - t₂

as the distance does not change, we can equate two velocity•time statements

vt₂ = (v + 25)t₁

vt₂ = (v + 25)(19 - t₂)

vt₂ = 19v - vt₂ + 475 - 25t₂

2vt₂ = 19v + 475 - 25t₂

vt₂ = 570 and t₂ = 570/v

2(570) = 19v + 475 - 25(570/v)

1140 = 19v + 475 - 14,250/v

665 = 19v - 14,250/v

665v = 19v² - 14250

0 = 19v² - 665v - 14250

0 = v² - 35v - 750

quadratic formula

v = (35 ±√(35² - 4(1)(-750))) / 2

v = (35 ± 65) / 2

v = - 15 mph which we ignore as she did not spend hours driving backwards

or

v = 50 mph is average speed from parents house

v + 25 = 75 mph is average speed to parents house.

the trip to took 570/75 = 7.6 hrs

the trip from took 570/50 = 11.4 hrs.     total of 19 hrs.



The acceleration due to gravity on Earth is 9.8 m/s? What is the weight of a 75 kg person on Earth?
O 9.8 N
O 75 N
O 85 N
O 735 N

Answers

Answer:

the answer is 9.8 N you're welcome

Solve the problems.
A bird is flying at an elevation of 14 feet above the
surface of the water. A fish is swimming the same
distance below the surface of the water.
How can you
represent a location
below the surface of
the water?
a. What number represents the position of the fish
relative to the surface of the water?
b. How does the absolute value of the number
you wrote show that the distances are the
same? Explain.

Answers

Answer:

I believe a is -14

Step-by-step explanation:

its -14 because if it is in the exact same spot below water, think of the water as point 0. the bird is 14 and the fish is -14. Hope this helped

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