# Cost word problem

(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?
reshown Jul 8, 2016

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