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

Question

Same text as 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. Using these decision variables, solve the LP graphically and answer the following questions. Is the point x1 = 3, x2 = 2 in the feasible region? yes no

Explanation / Answer

No, it is not the fesible solution.

Because if x2=2 ,then corn produces only 20 bushles but government regulations require that atleast 30 bushles of corn that current year.So,it is not a feasible solution.

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