Under armor manufacture to maximize the total profit

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Under Armour manufactures two kinds of sneakers, each requiring a different manufacturing technique. Each male sneaker requires 25 hours of labor, 8 hours of testing, and yields a profit of $350. Each female sneaker requires 12.5 hours of labor, 8.5 hours of testing, and yields a profit of $200. There are 2500 hours of labor and 1200 hours of testing available.

Under Armor has made a deal with the Footlocker to provide at least 60 male sneakers and at least 58 female sneakers. The company wants to manufacture at most a combined total of 135 male and female sneakers.

How many of each kind of sneaker should Under Armor manufacture to maximize the total profit?

Formulate a linear programming model for the above situation by determining

(a) The decision variables.

(b) The objective function.

Reference no: EM13857838

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