Total profit p is the difference between total revenue r and total cost c. given the following total-revenue and total-cost functions, find the total profit, the maximum value of the total profit, and the value of x at which it occurs. r(x)= 1000x-(x squared) c(x)= 3400+10x .

x=495

,P=241,525

Step-by-step explanation:

Given that

Profit=Total revenue - total cost

P= R -C

Also given that

So

Above equation is the total profit in terms if x.

Now to find maximum value of P we have to differentiate above equation with respect to x

So

⇒x=495

So total profit at x=445  ,P=241,525

594 square inches

step-by-step explanation:

vote !

it would be 6xy and -16xy.