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Group A 1 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 at $3 a bushel. Seven acres of land and 40 hours per week of labor are available. Government regulations require that at least 30 bushels of corn be produced during the current year. Let x, = number of acres of corn planted, and x2 = number of acres of wheat planted. Using these decision variables, formulate an LP whose solution will tell Farmer Jones how to maximize the total revenue from wheat and corn. 2 Answer these questions about Problem 1. a Is (x1 = 2, x2 = 3) in the feasible region? b Is (x1 = 4, x2 = 3) in the feasible region? c Is (x1 = 2, x2 = -1) in the feasible region? d Is (x, = 3, x2 = 2) in the feasible region? %3D

Group A 1 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 at $3 a bushel. Seven acres of land and 40 hours per week of labor are available. Government regulations require that at least 30 bushels of corn be produced during the current year. Let x, = number of acres of corn planted, and x2 = number of acres of wheat planted. Using these decision variables, formulate an LP whose solution will tell Farmer Jones how to maximize the total revenue from wheat and corn. 2 Answer these questions about Problem 1. a Is (x1 = 2, x2 = 3) in the feasible region? b Is (x1 = 4, x2 = 3) in the feasible region? c Is (x1 = 2, x2 = -1) in the feasible region? d Is (x, = 3, x2 = 2) in the feasible region? %3D

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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Group A 1 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 at $3 a bushel. Seven acres of land and 40 hours per week of labor are available. Government regulations require that at least 30 bushels of corn be produced during the current year. Let x, = number of acres of corn planted, and x2 = number of acres of wheat planted. Using these decision variables, formulate an LP whose solution will tell Farmer Jones how to maximize the total revenue from wheat and corn. 2 Answer these questions about Problem 1. a Is (x1 = 2, x2 = 3) in the feasible region? b Is (x1 = 4, x2 = 3) in the feasible region? c Is (x1 = 2, x2 = -1) in the feasible region? d Is (x, = 3, x2 = 2) in the feasible region? %3D
Transcribed Image Text:Group A 1 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 at $3 a bushel. Seven acres of land and 40 hours per week of labor are available. Government regulations require that at least 30 bushels of corn be produced during the current year. Let x, = number of acres of corn planted, and x2 = number of acres of wheat planted. Using these decision variables, formulate an LP whose solution will tell Farmer Jones how to maximize the total revenue from wheat and corn. 2 Answer these questions about Problem 1. a Is (x1 = 2, x2 = 3) in the feasible region? b Is (x1 = 4, x2 = 3) in the feasible region? c Is (x1 = 2, x2 = -1) in the feasible region? d Is (x, = 3, x2 = 2) in the feasible region? %3D
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