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categoryالرياضيات schoolبكالوريوس event_available2026-07-14

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Energy Protein Calcuim Food Oatmeal Serving Size (kcal) (g) 28g 110 Suppose that the only foods in the world are listed in the table below: 6. An ideal diet would meet or exceed nutritional requirements, be inexpensive, and have variety. Price Limit (cents/serving) (servings/day) (mg) 4 2 3 4 Chicken 100g 205 32 12 24 3 Eggs 2 Large 160 13 2 54 13 Whole Milk 237cc 160 8 8 285 9 Cherry Pie Pork&Beans 170g 420 4 22 20 2 260g 260 14 80 19 2 Nutritionists suggest that a good diet has at least 2000kcal of energy, 55g of protein, and 800 mg of calcuim. While some of us would be happy to subsist on 10 servings of pork&beans, we have decided to impose variety by having a limit on the number of servings per day for each of our six foods. What is the least cost satisfactory diet? Formulate this problem as a linear program model.

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