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1. In a sports shop, showcase space is limited, and the shop must use it effectively to make the maximum profit. Three brands of running shoes, Su-Run, Naykk and Triath compete for a total showcase space of 3,2 m2. A Su-Run occupies 0,35 m2, a Naykk needs 0,45 m2 and a Triath 0,28 m2. Maximum monthly running shoe demands of Su-Run, Naykk and Triath are 8, 5, and 3 pairs, respectively. A pair of Su-Run running shoe nets $14 in profit, a pair of Naykk $18 and a pair of Triath $5. Sports shop thinks Su-Run running shoes need %20 more show space than Naykk. Triath is a new brand, and it must occupy at most 1 m2. Design the model to maximize the profit according to their appearance on the showcase
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