Test 1 Review Problems D - Simplex Method Problems 1. A...

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Simplex Method Problems 1. A large agriculture firm has 250 acres and $8000 available for cultivating three crops: barley, oats, and wheat. Barley requires $10 per acre for cultivation, oats require $15 per acre for cultivation, and wheat requires $12 per acre for cultivation. Barley requires 7 hours of labor per acre, oats require 9 hours of labor per acre, and wheat requires 8 hours of labor per acre.The firm has 2100 hours of labor available. The profits per acre of each crop are barely $60, oats $75, and wheat $70. How many acres of each crop should be planted to maximize profit? 2. As part of a weight-reduction program, a man designs a monthly exercise program consisting of bicycling, jogging, and swimming. He would like to exercise at most 30 hours, devote at most 4 hours to swimming, and jog for no more than the total number of hours bicycling and swimming. The calories burned per hour by bicycling, jogging, and swimming are 200, 475, and 275, respectively. How many
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