[COLOR="rgb(153, 50, 204)"]Due Date: 11-05-2011[/COLOR]

Suppose that there are six foods and their detail are as follows:

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Food Serving Size Energy(kcal) Protein(g) Calcium(mg) Price Limit
(rupees/serving) (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 & Beans260g 260 14 80 19 2

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.