A cereal company makes a cereal from two ingredients: wheat and oats. Each ingredient provides two essential nutrients: vitamin A and vitamin B. The company wants to know how many ounces of wheat and oats to include in each box of cereal so that the minimum requirements of 50 milligrams of vitamin A and 15 milligrams of vitamin B are satisfied. An ounce of wheat provides 10 milligrams of vitamin A and 2 milligrams of vitamin B. An ounce of oats provides 5 milligrams of vitamin A and 1 milligram of vitamin B. An ounce of wheat costs $0.03 and an ounce of oats costs $0.06. The company wants to minimize the total cost of production.

Formulate the above situation as a linear programming problem. Do NOT solve after formulating.