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 x1 = 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.
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 x1 = 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.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text: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 x1 = 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.
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