Daisy Patrone is a co-founder of a health food brand that promotes nutritious, delicious snacks. One of the most popular offerings is the Trail Mix which contains a mixture of dried fruit, tree nuts, and cereal grains. Daisy will select the quantities of each of the ingredient to ensure that the Trail Mix meets or exceeds the recommended nutrition standards while keeping costs as low as possible. Information about the three ingredients (per ounce) is shown below.

Ingredient          Cost     Volume       Fat          Grams Calories       Protein

Dried Fruit             $1.35    3/4 cup        0                  125                        2

Tree Nuts               $1.70    3/8 cup        12                260                       11

Cereal Grains         $0.90     1/2 cup

Formulate the linear programming problem only. Be sure to define decision variables, provide objective function, and all constraints.