Charm City Foods manufactures a snack bar by blending two ingredients: a nut m

Charm City Foods manufactures a snack bar by blending two ingredients: a nut mix and a granola mix. Information about the two ingredients (per ounce) is
shown below.

Ingredient

Cost In Dollars

Fat Grams

Protein Grams

Calories

Nut Mix

0.80

22

6

600

Granola Mix

0.40

2

2

50

The company needs to develop a linear programming model whose solution would tell them how many ounces of each mix to put into the snack bar. The blend
should contain no more than 1000 calories at least 10 grams of protein and no more than 30 grams of fat. In addition at least one ounce of nut mix must be
included in the blend.

Formulate a linear programming model for the above situation by determining

(a) The decision variables.

(b) The objective function.

(c) All the constraints.