The Munchies Cereal Company makes a cereal from severalingredients. Two of the ingredients , oats, and rice, providevitamins A and B. The company wants know how many ounces ofoats and rice it should include in each box of cereal to meet theminimum requirements of 48 milligrams of vitamin A and 12milligrams of vitamin B while minimizing cost. An ounce ofoats contributes 8 milligrams of vitamin A and 1 milligram ofvitamin B, whereas an ounce of rice contributes 6 milligrams ofvitamin A and 2 milligrams of vitamin B. An ounce of oats cost$0.05, and a ounce of rice cost $0.03.
a. Formulate a linear programming model for this problem.
b. Solve this model by using graphical analysis.