Question

Math help plssssss !!!!

Answer 1

Answer: $525.00$

Step-by-step 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 $525$.