Question

Please help !!!! urgent

Answer 1

`P(x) = 16x - 100 - 0.1x^2`

Explanation:

Given

`R(x) = 46x`

`C(x) = 100 +30x +0.1x^2`

Required

Determine the profit function

This is calculated as follows:

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

Substitute values for R(x) and C(x)

`P(x) = 46x - (100 + 30x + 0.1x^2)`

Open bracket

`P(x) = 46x - 100 - 30x - 0.1x^2`

Collect like terms

`P(x) = 46x - 30x - 100 - 0.1x^2`

`P(x) = 16x - 100 - 0.1x^2`