Cost word problem

Question

(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? 

Answer 1

Step 1:

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

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

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

(a)

Find the cost function for this company .

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

(b)

Write the revenue function for this company .

(c)

Write the profit function for this company .

Substitute .

(d)

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

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

number of thing-a-ma-bobs.

Solution:

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