Question

Math help plssssss !!!!

Answer 1

Answer:
`525.00`

Explanation:

The revenue function given is
`R(x)=-2x^2+100x`. The cost function given is
`C(x)=9x+500`. The domain is restricted from
`1\leq x\leq 30`.

The problem gives us that the company produces 25 units, so
`x=25`.

First, solve the revenue function for
`R(25)`.

`R(25)=-2(25)^2+100(25)`

`R(25)=-2(625)+100(25)`

`R(25)=-1250+100(25)`

`R(25)=-1250+2500`

`R(25)=1250`

The total revenue generated was $1,250.00.

Next, we have to solve the cost function for
`C(25)`.

`C(25)=9(25)+500`

`C(25)=225+500`

`C(25)=725`

Finally, the problem asks for the profit, so you must subtract the cost from the revenue:
`R(x)-C(x)=1250-725=525`.

The profit made by the company was $525.00, and you would submit it as
`525`.