Question

Profit is revenue minus cost. Find the profit if the cost of producing x units of a commodity is

130+25x and the revenue for selling them is x(88-X).​

Answer 1

`-x^2+63x-130`

Explanation:

When you put that into an equation:

`x(88-x)-(130+25x)`

Next, solve.

`\mathrm{Apply\:the\:distributive\:law}:\quad \:-\left(a+b\right)=-a-b`

`-\left(130+25x\right)=-130-25x`

`=x\left(88-x\right)-130-25x`

`x(88-x):88x-x^2`

`=88x-x^2-130-25x`

`88x-x^2-130-25x =-x^2+63x-130`

Therefore, the profit if the cost of producing
`x` units is
`-x^2+63x-130`, and there may be restrictions depending on conditions.