Profit when producing 50 items and 60 items?

Question

For a certain company, the cost function for producing x items is c(x)=40x+150 and the revenue function for selling x items is r(x)=-0.5(x+90)²+4050. The max capacity of the company is 110 items.

Answer 1

Hello, Henry,

Are you certain the revenue function has a negative sign in front of the 0.5(x +90)² ?

If so, sales are negative for both cases and profits are even lower when one subtracts the costs. Just substitute the values of x into each equation to get the table below and then subtract cost from revenue.:

Bob