Question

The profit of a cell-phone manufacturer is found by the function y = -2x^2 + 108x + 75 , where x is the cost of the cell phone. At what price should the manufacturer sell the phone to maximize its profits? What will the maximum profit be?

Answer 1

Maximum price is 1

Put 1 in equation

$\\ \rm\hookrightarrow y=-2(1)^2+108(1)+75$

$\\ \rm\hookrightarrow y=-2+183$

$\\ \rm\hookrightarrow y=181$