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. Some information about each of these ingredients is given next.

The nutritional requirements are as follows. The beverage must total between 380 and 420 calories (inclusive). No more than 20 percent of the total calories should come from fat. There must be at least 50 milligrams (mg) of vitamin content. For taste reasons, there must be at least two tablespoons (tbsp.) of strawberry flavoring for each tbsp. of artificial sweetener. Finally, to maintain proper thickness, there must be exactly 15 mg of thickeners in the beverage.
Management would like to select the quantity of each ingredient for the beverage that would minimize cost while meeting the above requirements.
a. Identify the requirements that lead to resource constraints, to benefit constraints, and to fixed-requirement constraints.
b. Formulate and solve a linear programming model for this problem on a spreadsheet.
c. Summarize this formulation in algebraic form?

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Calories from Fat (per tbsp.) Total Calories (per tbsp.) Vitamin Content (mg/tbsp.) Thickeners (mg/tbsp.) Cost Ingredient (c/tbsp.) Strawberry flavoring 50 20 1 75 10 8. 25 15 6. 100 Cream Vitamin supplement Artificial sweetener Thickening agent 50 120 80 25 30 m 00 -N