Q. Rienzi Farms grows soybeans also sugar cane on its 500 acres of land. An acre of soybeans brings a $1000 contribution; an acre of sugar cane has a contribution of $2000. Because of a government program no more than 200 acres may be planted in soybeans. Season 1200 hrs of planting time will be available. Each acre of soybeans requires 2 hrs, while each acre of sugar cane requires 5 hrs. The organization seeks maximum contribution (profit) from its planting decision.

a) Define the decision variables clearly. Write the objective function also the of the decision variables.

b) Plot the constraints also show the feasible region.

c) Solve graphically, using the corner poi optimal solution?