4120_F10_hw2-solutions

# 4120_F10_hw2-solutions - AEM 4120 Homework Assignment 2 Due...

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AEM 4120 Homework Assignment 2 Due date: Thursday, September 16 (at the beginning of class) Readings: Hillier and Lieberman (H&L) up to the end of Chapter 3, excluding 3.6 and Appendix 3.1 1) AG Farm, Inc. must determine how many acres of corn and wheat to plant this year. An acre of wheat yields 50 bushels of wheat and requires 20 hours of labor per week. An acre of corn yields 20 bushels of corn and requires 8 hours of labor per week. All wheat can be sold at \$8 a bushel, and all corn can be sold at \$6 a bushel. Fourteen acres of land and 80 hours per week of labor are available. Government regulations require at least 60 bushels of corn be produced during the current year. Let x 1 = number of acres of corn planted and x 2 = number of acres of wheat planted. a) Using these decision variables, formulate an LP whose solution will tell AG Farm how to maximize the total revenue from wheat and corn. b) Is (x1 = 2, x2 = 3) in the feasible region?

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4120_F10_hw2-solutions - AEM 4120 Homework Assignment 2 Due...

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