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?

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?

Question
Analysis
asked 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?

Answers (1)

2021-01-20
The cost would be the start up cost plus the cost to make xx thing-a-ma-bobs. C(x)=44055+1.97xC(x)=44055+1.97x
The revenue is how much the company makes per x thing-a-ma-bobs sold. R(x)=5.31xR(x)=5.31x
In order to make a profit, total revenue has to exceed total cost. R(x)>C(x)R(x)>C(x)
5.31x>44055+1.97x5.31x>44055+1.97x
3.34x>440553.34x>44055
x>13190.1x>13190.1
Because you can only sell an integer number of thing-a-ma-bobs, the company must sell at least 1319113191 thing-a-ma-bobs.
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