a) Formulate the problem as a linear program. b) Solve using the corner-point method (graphical method).

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Rienzi Farms grows sugar cane and soybeans on its 500 acres of land. An acre of soybeans brings a $1000 contribution to overhead and profit; an acre of sugar cane has a contribution of $2500. Because of a government program no more than 150 acres may be planted in soybeans. During the planting season 1800 hours of planting time will be available. Each acre of soybeans requires 2 hours, while each acre of sugar cane requires 6 hours. The company seeks maximum contribution from its planting decision.

a) Formulate the problem as a linear program.

b) Solve using the corner-point method (graphical method).

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