suppose that the manufacturer of a gas water heater has found that, when the unit price is (p) dollars, the revenue (R) (in dollars) is R= -4p^2+4000p

Question

it’s asking to sketch the graph of the function, find what unit price should be established for the water heater to maximize revenue and what is the maximum revenue?

Answer 1

R = -4p^2 +4000p

max R we get for p = -4000/(2(-4)) = 500

max R = -4*500^2 + 4000*500 = $1000000