Question

15 POINTSSSS‼️‼️

A company that makes thing-a-ma-bobs has a start up cost of $ 8809. It costs the company $
2.05 to make each thing-a-ma-bob. The company charges $ 4.92 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 1

If the company produce and sell 'x' no. of thing-a-ma-bob , then

C(x) = $ (8809 + 2.05x)

R(x) = $ 4.92x

To make a profit the company must produce and sell at least 3070 thing-a-ma-bobs.

Explanation:

If the company produces and sells "x" no. of thing-a-ma-bob, then,

the cost function is given by,

C(x) = $ (8809 + 2.05x) ------------------------(1)

The revenue function is given by,

R(x) = $ 4.92x -------------------------------------(2)

If C(x) = R(x), then,

4.92x = 8809 + 2.05x

⇒ 2.87x = 8809

⇒ x =
`\frac {8809}{2.87}`

⇒ x
`\simeq` 3069.34

So, to make a profit the company must produce and sell at least 3070 thing-a-ma-bobs.