Question: The Bradley family owns 410 acres of farmland in North Carolina on which they grow corn and tobacco. Each acre of corn costs $ 105 to plant, cultivate and harvest, each acre of tobacco costs $210. The Bradley’s have a budget of $ 52,500 for next year. The government limits the number of acres of tobacco that can be planted to 100. The profit from each acre of corn is $300; the profit from each acre of tobacco is $520. The Bradley’s wants to know how many acres of each crop to plant in order to maximize their profit.

Solve the linear programming model formulated for the Bradley family graphically. (You have to formulate a linear programming model in order to solve this problem).

a-How many acres of farmland will not be cultivated at optimal solution? Do the Bradley’s use the entire 100 acre tobacco allotment?

b-What would the profit for corn have to be for the Bradley’s to plant only corn?

c-If the Bradley’s can obtain an additional 100 acres of land, will the number of acres of corn and tobacco they plan to grow change?

d-If the Bradley’s decide not to cultivate a 50-acre section as part of a crop recovery program, how will it affect their crop plans?

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Solution: The downloadable solution consists of 4 pages
Deliverable: Word Document