Rienzi Farms Grows Sugar Cane and Soybeans on Its 500

Essay

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 (profit) from its planting decision.
(a) Formulate the problem as a linear program.
(b) Solve using the corner-point method.