Problem 1 You are in charge of creating a diet plan for the local school, but...

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Problem 1 You are in charge of creating a diet plan for the local school, but have a limited number of items to select from. The items in the following table are available for selection along with the price per serving and serving size. Broccoli Corn Bread Broccoli Corn Bread Potatoes Chicken Cookies Minimum Maximum Potatoes 0.18 Chicken 2.52 Cookies 0.1 Price ($) Serving Size 10 oz 0.48 0.54 0.18 The next table provides the nutritional content per serving for each item as well as the minimum and maximum amount of each nutrient the diet must satisfy. 68.2 2.5 134.5 15.2 125.6 57.8 2000 0.5 cup 1 slice Calories Sodium (mg) Fiber (g) Protein (g) Calcium (mg) Carbohydrates (g) 73.8 8.5 72.2 2 65 171.5 277.4 78.1 800 0.5 cup 1 lb 1 cookie 1.3 3.2 0 0 60 125 8 2.5 2.3 3.7 42.2 0.9 100 150 159 3.3 10.8 22.7 21.9 6.2 700 13.6 17.1 12.4 39.9 0 9.3 In addition to the minimum and maximum nutrient restrictions, the diet must contain at least 120 calories from broccoli and/or corn, and at least 400 calories from bread, potatoes, and/or chicken. No more than half the total sodium in the diet is allowed to come from chicken, and the number of servings of bread needs to be at least twice the number of servings of cookies. Formulate an LP to to help determine a minimum cost diet based on the dietary restrictions. Clearly define all decision variables, any parameters/sets used in the model, and provide a description of the objective function and constraints. Problem 1 You are in charge of creating a diet plan for the local school, but have a limited number of items to select from. The items in the following table are available for selection along with the price per serving and serving size. Broccoli Corn Bread Broccoli Corn Bread Potatoes Chicken Cookies Minimum Maximum Potatoes 0.18 Chicken 2.52 Cookies 0.1 Price ($) Serving Size 10 oz 0.48 0.54 0.18 The next table provides the nutritional content per serving for each item as well as the minimum and maximum amount of each nutrient the diet must satisfy. 68.2 2.5 134.5 15.2 125.6 57.8 2000 0.5 cup 1 slice Calories Sodium (mg) Fiber (g) Protein (g) Calcium (mg) Carbohydrates (g) 73.8 8.5 72.2 2 65 171.5 277.4 78.1 800 0.5 cup 1 lb 1 cookie 1.3 3.2 0 0 60 125 8 2.5 2.3 3.7 42.2 0.9 100 150 159 3.3 10.8 22.7 21.9 6.2 700 13.6 17.1 12.4 39.9 0 9.3 In addition to the minimum and maximum nutrient restrictions, the diet must contain at least 120 calories from broccoli and/or corn, and at least 400 calories from bread, potatoes, and/or chicken. No more than half the total sodium in the diet is allowed to come from chicken, and the number of servings of bread needs to be at least twice the number of servings of cookies. Formulate an LP to to help determine a minimum cost diet based on the dietary restrictions. Clearly define all decision variables, any parameters/sets used in the model, and provide a description of the objective function and constraints.

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Decision Variables x1 servings of broccoli x2 servings of corn x3 servings of bread x4 servings of p... View the full answer