# Alexandra Bergson has subdivided her 2,000-acre farm into three plots and has contracted with three local farm

## Question:

Any of the three crops may be planted on any of the plots; however, Alexandra has placed several restrictions on the farming operation. At least 60% of each plot must be under cultivation. Further, to ensure that each sharecropper works according to his or her potential and resources (which determined the acreage allocation), she wants the same proportion of each plot to be under cultivation.

Her objective is to determine how much of each crop to plant on each plot to maximize profit.

a. Formulate a linear programming model for this problem.

b. Solve the model by using thecomputer.

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