IE513_hw1 - IE 513 Linear Programming Spring 2009-2010...

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IE 513 Linear Programming Spring 2009-2010 Homework 1 Due February 5, 2010 1) 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 desert. At least one equivalent serving of each category is desired. The cost per serving of some suggested item as well as their content of carbohydrates, vitamins, protein, and fats is summarized below. CARBOHYDRATES VITAMINS PROTEIN FATS COST ($ / SERVING) Vegetables Peas 1 3 1 0 0.10 Green beans 1 5 2 0 0.12 Okra 1 5 1 0 0.13 Corn 2 6 1 2 0.09 Macaroni 4 2 1 1 0.10 Rice 5 1 1 1 0.07 Meat Chicken 2 1 3 1 0.70 Beef 3 8 5 2 1.20 Fish 3 6 6 1 0.63 Dessert Orange 1 3 1 0 0.28 Apple 1 2 0 0 0.42 Pudding 1 0 0 0 0.15 Jello 1 0 0 0 0.12 Suppose that the minimal requirements of carbohydrates, vitamins, protein, and fats per meal are respectively 5, 10, 10, and 2. a. Formulate the menu-planning problem as a linear program. b. Many practical aspects have been left out in the foregoing model. These include planning the breakfast, lunch, and supper menus together, weekly planning so that different varieties of food are used and special menus for patients on particular diets. Discuss in detail how these aspects can be incorporated in a comprehensive menu-
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This note was uploaded on 04/15/2010 for the course INDUSTRIAL ie513 taught by Professor Zeynephuygur during the Spring '10 term at Bilkent University.

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IE513_hw1 - IE 513 Linear Programming Spring 2009-2010...

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