A company that makes thing-a-ma-bobs has a start up cost of $44055. It costs the company $1.97 to make each thing-a-ma-bob. The company charges $5.31

beljuA

beljuA

Answered question

2021-01-19

A company that makes thing-a-ma-bobs has a start up cost of $44055. It costs the company $1.97 to make each thing-a-ma-bob. The company charges $5.31 for each thing-a-ma-bob. Let x denote the number of thing-a-ma-bobs produced.
Write the cost function for this company. C(x) =
Write the revenue function for this company. R(x) =
What is the minumum number of thing-a-ma-bobs that the company must produce and sell to make a profit?

Answer & Explanation

ottcomn

ottcomn

Skilled2021-01-20Added 97 answers

The cost would be the start up cost plus the cost to make z thing-a-ma-bobs.

C(x)=44055+1.97x
The revenue is how much the company makes per x thing-a-ma-bobs sold.

R(x)=5.31x
In order to make a profit, total revenue has to exceed total cost.

R(x)>C(x)
5.31x>44055+1.97x
3.34x>44055
x>13190.1
Because you can only sell an integer number of thing-a-ma-bobs, the company must sell at least 13191 thing-a-ma-bobs.

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