Q.1: Suppose that there are six foods and their detail are as follows:
Food |
Serving Size |
Energy (kcal) |
Protein (g) |
Calcuim (mg) |
Price (rupees/serving) |
Limit (servings/day) |
Oatmeal | 28g | 110 | 4 | 2 | 3 | 4
|
Chicken | 100g | 205 | 32 | 12 | 24 | 3 |
Eggs | 2 Large | 160 | 13 | 54 | 13 | 2 |
Whole Milk | 237cc | 160 | 8 | 285 | 9 | 8 |
Cherry Pie | 170g | 420 | 4 | 22 | 20 | 2 |
Pork & Beans | 260g | 260 | 14 | 80 | 19 | 2
|
Satisfactory diet |
| 2000 | 55 | 800 | ? |
|
After consulting with nutritionists, we decree that a satisfactory diet has at least 2000 kcal of energy, 55 g of protein, and 800 mg of calcium (vitamins and iron are supplied by pills). While some of us would be happy to subsist on 10 servings of pork and beans, we have decided to impose variety by having a limit on the number of servings/day for each of our six foods. What is the least cost of satisfactory diet? Construct an LP model of this problem.
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