Suppose That a Farmer Has 5 Acres of Land That

Essay

Suppose that a farmer has 5 acres of land that can be planted with either wheat,corn,or a combination of the two.To ensure a healthy crop,a fertilizer and an insecticide must be applied at the beginning of the season before harvesting.The farmer currently has 100 pounds of the fertilizer and 150 pounds of the insecticide at the beginning of the season.Each acre of wheat planted requires 10 pounds of the fertilizer and 12 pounds of the insecticide.Each acre of corn planted requires 13 pounds of the fertilizer and 11 pounds of the insecticide.Each acre of wheat harvested yields a profit of $600,while each acre of corn harvested yields $750 in profit.What is the optimal allocation for the crops that maximizes the farmer's profit?