Same text as the previous problem: Farmer Jones must determine how many acres of

Question

Same text as the previous problem: 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. Farmer Jones wants to maximize the total revenue from wheat and corn. Let x1 = number of acres of corn planted and x2 = number of acres of wheat planted. If you write the constraints exactly as the appear in the text, is the LP in canonical inequality form? yes no

Explanation / Answer

Yes it appears as canonical inequality form

Maximize 4x1 + 3x2

25x1 +10x2 7

10x1 + 4x2 40

X2 30

Where x1 represent wheat and x2 represents corn

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