We have to find a diet that contains not less than150calories, not more than10g of protein, not less than8g of carbohydrates and not less than10g of fat.Also, the diet should haveminimal cost. In addition the diet should include at least0.7g of fish and not more than1cups of milk.

Bread(100 g)Milk(a cup)Cheese(100 g)Potato(100 g)Fish(100 g)Yogurt(100 g)

Cost, $ 3.0 4.5 8.0 5.0 16.0 1.5

Protein, g 4.0 8.0 7.0 1.3 8.0 9.2

Fat, g 1.0 5.0 11.5 0.1 7.0 1.0

Carbohydrates, g17.0 11.7 0.4 22.6 0.0 15.0

Calories, Cal 90 106 120 97 130 180

1)Write down the decision variables.

2)Write down the objective function

3)Write down all constraints