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.
(c) All the constraints.