ate ed Below there is a diet chart which gives calories, protein, carbohydrate and fat content for 4 food items. Sara wants a diet with minimum cost. The diet chart is as follows: bi Calories Protein (in grams) Carbohydrates (in grams) Fat (in grams) Cost Food Item 1 400 3 2 2 $0.50 Food Item 2 200 2 2 4 $0.20 Food Item 3 150 0 4 1 $0.30 (1) Formulate the linear programming model for this problem. a. Define the decision variables b. Formulate the objective function c. State the constraints Food Item 4 500 0 4 5 $0.80 The chart gives the nutrient content as well as the per-unit cost of each food item. The diet has to be planned in such a way that it should contain at least 500 calories, 6 grams of protein, 10 grams of carbohydrates and 8 grams of fat. Determine how much of each food item is to be used in the diet to minimize the total cost.