Suppose a store sells two brands of disposable cameras and

Question

Question: Suppose a store sells two brands of disposable cameras and the profit for these is a function of their two selling prices. The type 1 camera sells for $x, the type 2 sells for $y, and profit is given by

P = 915x - 30x² - 45xy + 975y - 30y² - 3500

Find the selling prices that maximize profit. Find the maximum profit.