The Charm City Cereal Company makes a cereal from several ingredients. Two of the ingredients, oats and rice, provide vitamins A and B. The company wants to know how many ounces of oats and rice it should include in each box of cereal to meet the minimum requirements of 50 milligrams of vitamin A and 25 milligrams of vitamin B while minimizing cost. An ounce of oats contributes 8.45 milligrams of vitamin A and 1.18 milligram of vitamin B, whereas an ounce of rice contributes 6.34 milligrams of vitamin A and 2.23 milligrams of vitamin B. An ounce of oats costs $0.10, and an ounce of rice costs $0.07.
(a) Define the decision variables.
(b) Determine the objective function. What does it represent?
(c) Determine all the constraints. Briefly describe what each constraint represents.
Note: Do NOT solve the problem after formulating.