If a store sells a commodity with a purchase price of 8 yuan at 10 yuan per piece, it can sell 200 pieces per day. Now it increases the selling price to make more profits. It is known that the sales volume of the store will decrease by 10 pieces for each price increase of 0.5 yuan. When we set the selling price, we can make the maximum profit per day? What is its maximum profit?

Suppose the selling price of each piece is 10 + 0.5x yuan, then the number of pieces sold is reduced by 10x. The daily profit is y = (2 + 0.5x) (200-10x) = - 5x2 + 80x + 400 = - 5 (X-8) 2 + 720, so when x = 8, there is ymax = 720. A: when the selling price is 14 yuan per piece, the maximum profit is 720 yuan

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