Question

The profits of a company are found by subtracting the company's costs from its revenue. If a company's cost can be modeled by 14x-0.0002xsquared, what is an expression for the profit

Answer 1

`-0.0002x^2 +26x-120000`

Explanation:

The correct question should be:

We have been told that all we have to do to get profit is to subtract the cost from revenue.

Revenue =
`40x - 0.0002x^2`

Cost =
`14x + 120,000`

Hence:

Profit =
`40x - 0.0002x^2 - (14x + 120000)`

`40x - 0.0002x^2 - 14x - 120000\\\\40x - 14x - 0.0002x^2 - 120000\\\\26x - 0.0002x^2 - 120000`

Putting it in ordered form:

`-0.0002x^2 +26x-120000`

This is an expression for the profit.