An adequate daily diet for the average student is composed of at least the following nutritional requirements: 2000 calories, 60 grams of proteins, 0.6 can be found in table 3.1, where returns, (apart for the fi nal payoff ), are Table 3.1: The Investment Projects grams of calcium and 20 milligrams of iron. Table 3.2 contains the information about prices and nutritional content of seven foods.

a) Formulate the corresponding LP problem.

b) Solve it using either Microsoft Excel or GAMS.

c) Give a full report of the primal and the dual solutions.

d) Verify that the complementary slackness conditions are satisfied.

Table 3.2: Prices and Nutritional Content of Seven Foods Food Unit Price Calories Protein Calcium Iron $ (1000) (grams) (grams) (mg) Wheat flour lb 0.5 1.5 140 0.1 30 Cheese lb 1.8 8.5 340 12.0 16 Green beans lb 0.4 2.0 135 3.5 70 Sirloin steak lb 6.5 3.0 166 0.1 34 Milk Bread Bananas 522 qt 0.7 6.0 310 10.5 181 lb 1.5 12.2 484 2.7 12 lb 1.6 4.9 60 0.4 30