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Unformatted text preview: ESE304 - Introduction to Optimization (Homework #1) Fall Semester, 2010 M. Carchidi –––––––––––––––––––––––––––––––––––– Problem #1 (20 points) - Maximization of Total Revenue Farmer Jones must determine how many acres of corn and wheat to plant this year. An acre of wheat yields 25 bushels of wheat and requires 10 hours of labor per week. An acre of corn yields 10 bushels of corn and requires 4 hours of labor per week. All wheat can be sold at $4 a bushel, and all corn can be sold for $3 a bushel. Seven (7) acres of land for the year, and 40 hours per week of labor are available. Government regulations require that at least 30 bushels of corn must be produced during the current year. Using x 1 as the number of acres of corn planted and x 2 as the number of acres of wheat planted, formulate an LP whose solution will tell Farmer Jones how to maximize total revenue from wheat and corn, and solve your problem using graphical methods....
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This note was uploaded on 03/02/2011 for the course ESE 304 taught by Professor Michaela.carchidi during the Winter '11 term at UPenn.
- Winter '11