slove using simple form

dpuble or single index

The technical staff of a hospital wishes to develop a computerized menu-planning system. To start with, a lunch menu is sought. The menu is divided into three major categories: vegetables, meat, and dessert. At least one equivalent serving of each category is desired. The cost per serving of some suggested items as well as their content of carbohydrates, vitamins protein, and fats is summarized in the next slide. Suppose that the minimal requirements of carbohydrates, vitamins, protein, and fats per meal are respectively 5, 10, 10, and 2. Formulate the menu-planning problem as a linear program. Carbs Vitamins Protein Fats Cost in $/serving 1 3 Vegetables Peas Green beans Okra 1 0 0.1 1 5 2 0 0.12 1 5 1 0 6 Corn Macaroni 1 0.13 0.09 2 4 2 2 1 1 0.1 Rice 5 1 1 1 0.07 Meat 2 1 3 1 Chicken Beef 3 8 5 2 0.7 1.2 0.63 Fish 3 6 1 1 3 1 0 0.28 Dessert Orange Apple Pudding Jello 1 2 0 0.42 1 0 0 0 0.15 1 0 0 0 0.12