MTH 390 Page 3 of 5 3. (10 points) James wants to plan a nutritious diet, but he is on a limited budget, so he wants to spend as little money as possible to fulfill his daily requirements of carbohydrates, proteins, and fats. Ile is considering five types foods: bread, eggs, potatoes, meat, and yogurt. The cost and nutrition values per unit are displayed in the following table: Cost $ Carbohydrates, & Protein, g 4.4 bread eggs potato meat yogurt 2.0 3.5 1.5 9 1.5 12.0 20.2 0.00 15.0 4.0 6.0 1.5 7.0 6.5 1.0 4.0 0.3 8.0 1.0 80 110 95 120 140 Fat, 8 Calories Each day, he must ingest at most 10 g of carbohydrates, at least 12 g of plytein, and at least 9 g of fat. In addition, the diet should contain at least 300 calories, at least 1 unit of meat, and no more than 2 units of eggs. Formulate an LP model that can be used to satisfy James' daily nutritional requirements at minimum cost? (Define decision variables, objective function, and constraints.)