Question

And electronics store chain sells headphones The company is about to introduce a new headphones model that is expected to sell very well across its various stores. The projected revenue and cost functions for the headphones are R(x)=-0.25x+25x and c(x)= -17+90. What is the profit function

Answer 1

`P(x) = -0.25x^2 + 42x - 90`

Explanation:

Given

`C(x) = -17x + 90`

`R(x) =- 0.25x^2 + 25x`

Required

Determine the profit function.

Profit function is calculated as thus:

`P(x) = R(x) - C(x)`

So, we have:

`P(x) = -0.25x^2 + 25x -(-17x + 90)`

`P(x) = -0.25x^2 + 25x + 17x - 90`

`P(x) = -0.25x^2 + 42x - 90`