A soup company wants to determine the optimal ingredients for its vegetable soup. The main ingredients are
Vegetables: Potatoes, Carrots, Onions, Meat, Water, Flavorings
The soup must meet these specifications:
a. No more than half of the soup can be vegetables
b. The ratio of water to meat should be 8:1
c. The amount of meat should be between 5 and 6 percent of the soup.
d. The flavorings should weight no more than 0.5 ounce.
The cost per ounce of the ingredients is $.02 for the vegetables, $.05 for the meat, $.001 for the water, and $.05 for the flavorings.
Formulate an LP model that will determine the optimal amounts of the various ingredients to achieve 15-ounce cans of soup at minimum cost for your specific scenario in the following table.