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Unformatted text preview: In-Class Exercises Linear Programming . 1. A manager must decide on the mix of products to produce for the coming week. Product A requires three minutes per unit for molding, two minutes per unit for painting, and one minute per unit for packing. Product B requires two minutes per unit for molding, four minutes per unit for painting, and three minutes per unit for packing. There will be 600 minutes available for molding, 600 minutes for painting, and 420 minutes for packing. Both products have profits of $1.50 per unit. A) What combination of A and B will maximize profit? B) What is the maximum possible profit? C) How much of each resource will be unused for your solution? 2. Given this problem: Maximize Z = $.30x + $.90y Subject to: (1) 2x + 3.2y 160 (2) 4x + 2.0y 240 (3) y 40 A) Solve for the quantities of x and y which will maximize Z. B) What is the maximum value of Z? 3. Determine the amounts of x and y that will minimize cost. What is the minimum cost these amounts will yield? Minimize Z = $7x + $7y Subject to: (1) 14x + 4y 280 (2) 30x + 70y 2,100 (3) y 60 (4) y 10 4. Consider the linear programming problem below: Minimize Z = $2x + $8y Subject to: (1) 8x + 4y 64 (2) 2x + 4y 32 (3) y 2 Determine the optimum amounts of x and y in terms of cost minimization. What is the minimum cost? ...
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- Spring '08