Mountaineer Products Incorporated manufactures mountain-bike accessories. It is considering making a new type of reflector for night biking. The expense and revenue functions are E = -450p + 90,000 and R = -185p2 + 9,000p.
a. Determine the profit function.
b. Determine the price, to the nearest cent, that yields the maximum profit.
c. Determine the maximum profit, to the nearest cent.