An accounting firm has 900 hours of on-the-clock staff time and 100 hours of reviewing time available to assign each week. The firm charges $300 for a tax return and $2000 for a small business audit. A small business audit requires 100 hours of staff time and 10 hours of review time. A tax return requires 12.5 hours of staff time and 2.5 hours of review time. In order to maximize their revenue for the week, how many small business audits and how many tax returns should the firm schedule? What is their maximum revenue for the week?

Constraints:

Objective Formula:

Answers

Answer 1

Answer:

The maximum revenue for the week is $19,000.

Step-by-step explanation:

Denote the variables as follows:

X = small business audit

Y = tax return

The maximizing function is:

Z = 2000·X + 300·Y

The maximizing function is subjected to the constraints:

100·X + 10·Y ≤ 900

10·X + 2·Y ≤ 100

0 ≤ X and 0 ≤ Y

The problem can be solved using the simples method as follows:

Let s and t be slack variables.

Initial:

         x           y         s       t       b                Basic

       100        10        1       0     900               s (departing)

       12.5      2.5        0       1      100                t

Z   -2000    -300     0       0       0

   (entering)

Step 1:

         x           y         s           t       b                Basic

         1          1/10     1/100     0      9               x

         0           1        -1/10      1       10              t (departing)

Z        0        -100       20      0       18000

               (entering)

Step 2:

         x       y         s           t         b                Basic

         1       0       1/50     -1/10      8               x

         0      1       -1/10         1        10              y

Z        0      0       10         100     19000

               (entering)

The optimal solution is:

X = 8

Y = 10

The maximum revenue for the week is $19,000.


Related Questions

The graph of the function y=f(x) is shown below. What are the values of a,b,c, and d in the definition of f(x) below?

Answers

9514 1404 393

Answer:

  (a, b, c, d) = (2, -3, -2, 2)

Step-by-step explanation:

The horizontal segment where y=3 extends from x = -2 to x = 2. These are the values of c and d, respectively.

The slope of the left piece is up 2 for over 1, so is 2/1 = 2, the value of a.

The slope of the right piece is down 3 for over 1, so is -3/1 = -3, the value of b.

So, we have ...

a = 2b = -3c = -2d = 2


25 POINTS
Look at the image, read, and choose the correct option.
Monday, Feburary 7th Granada
Dia de la Independencia
Friday, Feburary 27th República Dominicana Dia de la Independencia
Tuesday, March 14th San Vicente y las Granadinas Dia de los Heroes
Sunday, March 17th Montserrat
Fiesta de San Patricio
Thursday, March 18 Aruba
Dia de la Bandera y del Himno nacional
¿Qué dia es el Día de la Independencia en Granada?
O Es el Viernes, 27 de Febrero
O Es el 7 Lunes de Febrero
O Es febrero, el viernes 27
O Es el lunes, 7 de febrero

Answers

Answer:

Es el lunes, 7 de febrero.

Step-by-step explanation: i took the test and got it right

Why can you use fraction multiplication to check the
answer to a fraction division problem? How do you use
multiplication to check a division problem?

Answers

Answer:

Division and multiplication are inverse operations. This means they "undo" each other. You can check your answer by multiplying the quotient by the divisor. You should get the dividend.

have a great day :)

Because multiplication is the converse of division,

If x/y=z then x=?

x/y=z

x=yz

Division and multiplication are inverse operations. This means they "undo" each other. You can check your answer by multiplying the quotient by the divisor. You should get the dividend.

Just like addition is the converse of subtraction.

If x/y=z,

then x=yz.

If x divided by y is equal to z, then x equals y times z. These are the rules of arithmetic. If they weren't true the universe would fall apart! The rule can be used as a check that you have the right answer.

Therefore converse of division is the answer.

To learn more on division of fractions click here: https://brainly.com/question/7722793

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Solve: -19x- 1 = -12x + 34

Answers

19−1=−12+34

19x-1=-12x+34

19x−1=−12x+34

19−1+1=−12+34+1

40 is 25% of what number?

Answers

Answer:

160

Step-by-step explanation:

Answer:

=160

Step-by-step explanation:

25% is 1/4 of a number so..

40 x 4= 160

Hope this helps (:

Kara has 5 exams scores 58,73,85,83, and 79 in her biology class. What score does she need on the final exam to have a mean grade of 70

Answers

Her final exam will be her 6th exam. To determine the her final exam  score we can use this equation:

Mean = All scores/6

70 = (58 + 73 + 85 + 83 + 79 + x )/6  ⇒ x stands for the final exam mark

70 = 378 + x /6   ⇒ Multiple both sides by 6 to cancel it out

420 = 378 + x   ⇒ Subtract 378 from both sides to isolate x

420 - 378 = x

42 = x

Therefore, she must get at least 42% on her final to maintain a 70% average.

This is 42=x because of how many times it is multiplying

Helpppppppppppp ppppp:/

Answers

Answer:

18

Step-by-step explanation:

I hope this helps

If u answer this i will give your answer a like and help with anything u need!

Answers

Answer:

0 . 4  =  2 / 5

Step-by-step explanation:

The answer is 0.4= 2/5

Write 0.00000000007 in scientific notation


HHhhHHHHEEEEEElLllLlpPpPp!!!!!

Answers

Answer:

7x10^-11

Step-by-step explanation:

You probably don't need this answer anymore.

If 4 − 7x is 5 less than 23, what is the value of 3x ?

Answers

4- 7x = 23- 5

4 - 7x = 18

-4 = -4

-7x = 14

/-7 = /-7

X = -2

3x = -6

plz show work how u got the answer to be marked as brainlyest

Answers

Sorry this isnt an answer, but i need more information to be able to answer this question! there isnt a photo or any more text attached

Answer

the answer is 91 miles per hour

Step-by-step explanation:

divide 728 by 8

Help! Whoever answers correctly and is first to answer I will make brainly! In dire need of help!

Answers

Answer:

B

Step-by-step explanation:

Isoceles triangle

Answer:

B. 65 degrees

Find the slope of the line that passes through the points (8, 2) and (4,4).
Helppp !!

Answers

Answer:

-[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

We can find the slope of the line by using the point slope formula: [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex].

If we plug in your numbers, we get:

[tex]\frac{4-2}{4-8}[/tex], or -[tex]\frac{2}{4}[/tex], or -1/2.

Will give brainliest answer, so please help!!

Answers

Answer:

Step-by-step explanation:

10x+8+6x-3

10x+6X+8-3

16x+5

Answer:

16x+5

Step-by-step explanation: That’s the expression (answer)

Alice is completing the table so that it is a function. Which values can she NOT use to complete
the table? Explain.

Answers

It’s the 2nd option

which ordered pairs are solutions to the inequality y-3x<-4
(5,1)
(4,-2)
(-3,0)
(1,-1)
(0,-3)

Answers

Answer:

(5,1) (4,2)

Step-by-step explanation:

Irina ran 0.25 mile in 2 minutes. At this rate, how many minutes will it take her to run 2 miles?

Enter the correct answer in the box.

Answers

Answer:

16

Step-by-step explanation:

 2/0.25 = 8

2 x 8 = 16

I think the answer is 16. Don’t get stressed!!
........

The graph of a linear function is given below.

What is the zero of the function
A. -5
B.2/5
C.2
D.5/2

Answers

Answer:

A. - 5

Step-by-step explanation:

Since, line is intersecting x-axis at - 5, therefore zero of the function is - 5.

Which of the following equations have no solutions?
Choose all answers that apply:
Choose all answers that apply:

(Choice A)
A
-60x+32=-60x+60−60x+32=−60x+60minus, 60, x, plus, 32, equals, minus, 60, x, plus, 60

(Choice B)
B
-60x+32=32x-60−60x+32=32x−60minus, 60, x, plus, 32, equals, 32, x, minus, 60

(Choice C)
C
-60x+32=-60x-32−60x+32=−60x−32minus, 60, x, plus, 32, equals, minus, 60, x, minus, 32

(Choice D)
D
-60x+32=32x+60−60x+32=32x+60

Answers

Answer:

B & D

Step-by-step explanation:

Options B and D have a solution from the given set of equations.

We need to find from the given which equation does not have solutions.

How to determine whether the equation has no solution?

Solve the given equation for x. If you get any value then the equation has a solution.

From option (A):

-60x+32=-60x+60

⇒-60x+60x=60-32

By simplifying the above equation we get no x value. So, there are no solutions.

From option (B):

-60x+32=32x-60

⇒-60x-32x=-60-32

⇒-92x=-92

⇒x=1

From option (C):

-60x+32=-60x-32

By simplifying the above equation we get no x value. So, there are no solutions.

From option (D):

-60x+32=32x+60

⇒-92x=28

⇒x=0.304

Therefore, options B and D have a solution.

To learn more about the system of equations visit:

https://brainly.com/question/14506845.

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make -4 a fraction ​

Answers

Answer:

4/1

Step-by-step explanation:

like 1 is like 1 whole

Answer:

-16/4

Step-by-step explanation:

In this way it will be in fraction

-16/4

which means, -16÷4= -4

Finding the Equation of a Line
You have discovered another alien.
Move the sliders to change the slope and y-intercept.
Create an equation to produce the correct line of travel.
slope: 0
6
What is the equation of the line that provides the
correct path to rescue this alien?
A. Y=5
B. Y=x+5
C. Y=-x+5
D. Y=5x

Answers

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of the line is Y=-x+5. Thus, the correct option is C.

What is the equation of a line?

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of the line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is the y-intercept.

The position of Allien in the coordinate plane is (0,5), the coordinate of the rocket is (5,0). The slope between the two  is,

Slope, m = (0 - 5)/(5 - 0) = -5/5 = -1

The equation of the line can be written as,

y = -1x + C

substitute any one of the point in the equation,

0 = -1(5) + C

0 = -5 + C

C = 5

Hence, the equation of the line is Y=-x+5. Thus, the correct option is C.

Learn more about Equation of Line:

https://brainly.com/question/21511618

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When three times the sum of a number and seven is increased by ten, the result is four.

Answers

Answer:

3x+7(10)=4

Step-by-step explanation:

???

When are `x+2` and `3x` equal?
ARE THEY EQUAL?

Answers

Answer:

but tbh this equation cannot be equal

Step-by-step explanation:

Answer:

No, they are not equal, because you can not add x to 2, because it does not have an x after the 2, so they are not the same

Step-by-step explanation:

If f(x) = 2(x - 5), find f(8).
4
6
8
16

Answers

Answer:

6

Step-by-step explanation:

So, eq. 8 in f(x)

f(8)=2(8-5)

    =2(3)

Multiplying,

     =6

Pls Mark me brainliest!!!

Answer:

if (x-5) is an exponent: the answer is 8

Step-by-step explanation:

Substitute:

f(8)=2(8-5)

f(8)=2(3)

f(8)=8

is the number 749 rational?​

Answers

Yes. Because rational numbers can be written in a form of fraction and they are integers.

Terry is an up and coming florist who specializes in weddings. He uses 5 roses, 3 daises, and 4 bundles of green filler to make one bouquet. If r is the cost of a rose and d is the cost of a daisy, and f is the cost of a bundle of green filler, which expression represents the cost for making 75 bouquets

Answers

Answer:

75 (5r + 3d + 4f)

Step-by-step explanation:

Cost of 5 roses: 5rCost of 3 daises: 3dCost of 4 green fillers: 4fAmount of bouquets: 75Put them together: 75 (5r + 3d + 4f)

I hope this helps!

answer: (75)5r+3d+4f

explanation:
5r is the cost of the roses
3d is the cost of the daisies
4f is the cost of the green filler
times all of those by 75, which is how many bouquets Terry is trying to make

hope this helps :)

how do you solve
16 < b + 8, if b =22​

Answers

Answer:

16 < 30

Step-by-step explanation:

Substitute 22 for b, add 22 to 8 (30)

The inequality is correct, 30 is greater than 16

3x + 6 = y

solve for x

Answers

Answer:

x=1/3y - 2

Step-by-step explanation:

The office supply closet had 25,473 large paper clips, 13,648 medium paper clips, and 15,306 small paper clips. How many paper clips were in the closet?

Answers

Answer:

The answer is 54,427

Step-by-step explanation:

Add them up

Question will be in picture below please help

Answers

Answer:

c = 13

Step-by-step explanation:

c = 6(3) - 5

c = 13

Answer:

C. c=13

Step-by-step explanation:

This is how I figured it out:

1. I took the equation (c=6a-b) and I replaced the letters with the numbers given. (a=3 & b=5) so I got the new equation c=6(3)-5.

2. I used PEMDAS (parentheses, exponents, multiplication, division, addition and subtraction. Since we have multiplication and subtraction needed multiplication is shown before subtraction in PEMDAS so we would figure out 6(3) first which is equal to 18.

3. Now we have the new equation of c=18-5. Since subtraction is left we would take away 5 from 18 and now we have the final answer of 13. So the equation would now look like this: c=13. It's pretty obvious that c=13 that c has the value of 13.

I hope this helps:)

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