A consumer wishes to buy foods, at minimum total cost, that will satisfy a balance diet defined in terms of minimum nutrient requirements. Let the daily balanced diet concern 1000 calories, 100 grams of proteins, and 15 milligrams of iron. The foods are poultry, bread, lentils and fresh spinach. The nutrient content of these foods is given in the following table:

The foods’ market prices are $6, $3, $2, $4, respectively.

a) Solve this diet problem using either Microsoft Excel or GAMS.

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

calories proteins iron poultry [600 90 5 bread 200 15 3 lentils 430 50 13 spinach 40 5 3