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Cost word problem

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(1 pt) A company that makes thing-a-ma-bobs has a start up cost of $ 47060. It costs the company $ 3.79 to make each thing-a-ma-bob and the company charges $ 5.18 for each thing-a-ma-bob. Let x
x
 represent the number of thing-a-ma-bobs made. 
 
  a) Write the cost function for this company. C(x)
C
x
 =  
 
  b) Write the revenue function for this company. R(x)
R
x
 =  
 
  c) Write the profit function for this company. P(x)=R(x)−C(x)
P
x
R
x
C
x
 =  
 
  d) What is the minimum number of thing-a-ma-bobs that the company must pruduce and sell to make a profit? 
asked Jul 8, 2016 in PRECALCULUS by anonymous
reshown Jul 8, 2016 by goushi

1 Answer

0 votes

Step 1:

The company makes thing-a-ma-bobs has a start up cost of image.

It costs the companyimage to make each thing-a-ma-bob.

The company charges for each thing-a-ma-bob is image.

(a)

Find the cost function for this company image.

Let image-represent the number of thing-a-ma-bobs made.

image
(b)

Write the revenue function for this company image.

image

(c)

Write the profit function for this company image.

Substitute image.

image

(d)

Find the minimum number of thing-a-ma-bobs that the company.

image

The company must produce and sell to make a profit of image minimum

number of thing-a-ma-bobs.

Solution:

image

(d) The company minimum number of thing-a-ma-bobs is image

answered Jul 9, 2016 by Anney Mentor
edited Jul 9, 2016 by Anney

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