Elasticity question

Question

The consumer demand curve for professor Stefan Schwarzenegger's dumbbells is given by q = (80 - 2p)², where p is the price per dumbbell, and q is the demand in weekly sales. Find the price professor schwarzenegger should charge for his dumbbells to maximize revenue. (Round your answer to the nearest cent.)

$________

Answer 1

Just a clarification, q = (80 - 2p)² has only a global minimum since the leading coefficient of the quadratic term is positive. If you plot the equation in the form you gave it, it can only be minimized, not maximized.

Are you sure this is the form of the equation you were given instead of q = 80 - 2p²?