Slim-Down Manufacturing makes a line of nutritionally complete, weight-reduction beverages. One of its products is a strawberry shake that is designed to be a complete meal. The strawberry shake consists of several ingredients included in the chart below. Calories Total Vitamin
from fat Calories Content Thickeners Cost
Ingredient (per tbsp) (per tbsp) (mg/tbsp) (mg/tbsp) (¢/tbsp)
Strawberry
flavoring 1 50 20 3 10
Cream 75 100 0 8 8
Vitamin
supplement 0 0 50 1 25
Artificial
sweetener 0 120 0 2 15
Thickening
agent 30 80 2 25 6
The nutritional requirements are as follows: The beverage must be 400 calories. No more than 20 percent of the calories can come from fat. There must be at least 50 milligrams of vitamin content. For taste reasons, there must be twice as much flavoring as sweetener. Management would like to select the quality of each ingredient for the beverage that would minimize cost while meeting the above requirements. Formulate a linear programming model for this problem.