My diet requires that all of the food that I eat comes from the four "basic food groups" (chocolate cake, ice cream, soda, and cheesecake). At present, the following four foods are available for consumption: brownies, chocolate ice cream, cola and pineapple cheesecake. Each brownie costs 50 cents, each scoop of chocolate ice cream costs 20 cents, each bottle of cola costs 30 cents, and each piece of pineapple cheesecake costs 80 cents. Each day I must ingest at least 500 calories, 6 oz of chocolate, 10 oz of sugar, and 8 oz of fat. The nutritional content per unit of each food is shown in the table below. Formulate a linear programming model that can be used to satisfy my daily nutritional requirements at minimum cost. Choc (oz) -E_ Ch Ice Cream 200 2 2 4 (1 scoop) Cola (1 bottle) -_- Pineapple 500 ccake (1 piece) Let, X1 = # Brownies, X2 = Scoops of Ice Cream, X3 = # Colas, X4 = Slices of Cheesecake. Min 50);] + 20x2 + 30x3 + 80x3 S.T. 400x1 + 200x2 + 150KB + 500x4 2 500 Calories 3X1 + 2x2 2 6 Choc 2x1 + 2x2 + 4x3 + 4x4 2 10 Sugar 2x1 + 4x2 + x3 + 5x4 2 8 Fat