Example 1.2: Formulating: Diet Problem My diet requires that all the food I get come from one of the four basic food group. At present, the following four foods are available for consumption: brownies, chocolate ice cream, cola and pineapple cheesecake. Each brownie costs 50, each scoop of ice cream costs 20, each bottle of cola costs 30, and each piece of pineapple cheesecake costs 80. 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 given in the following table: Type of Food Calories Chocolate (oz) Sugar (oz) Fat (oz) Brownie (1 piece) 400 3 2 2 Chocolate Ice Cream 200 2 2 4 (1 scoop) Cola (1 bottle) 150 0 4 1 Pineapple Cheesecake (1 piece) 500 0 4 5 Formulate a Linear Program that can be used to satisfy my daily nutritional requirements at minimum cost.