Suppose there is two foods: Food F costs c = 12 EUR per unit. It contains 60 calories, 12 micrograms of Vitamin A, and 10 milligrams of Vitamin C per unit. Food F2 costs c2 = 15 EUR per unit. It contains 65 calories, 6 micrograms of Vitamin A, and 30 milligrams of Vitamin C per unit. The goal is to set up a diet that satisfies the following requirements with as little cost as possible: Consume at least 300 calories. Consume at least 36 micrograms of Vitamin A. Consume at least 90 milligrams of Vitamin C. Formulate this problem as an LP problem (clearly writing down the objective function and all constraints). Then solve this LP problem graphically. More precisely: read off from a suitable picture where the optimal solution is, and then compute it exactly.