5points eBook Print References View previous attempt Check my workCheck My Work button is now enabled Item 5 New Exercise Bank Content Qu. 06-25 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. Ingredient Calories from Fat (per tablespoon) Total Calories (per tablespoon) Vitamin Content (mg/tablespoon) Thickeners (mg/tablespoon) Cost (¢/tablespoon) 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 Click here for the Excel Data File Formulate and solve a linear programming model for this problem on a spreadsheet. Determine the quantity of each ingredient for the beverage.
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Item 5
New Exercise Bank Content Qu. 06-25
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.
| Ingredient | Calories from Fat (per tablespoon) | Total Calories (per tablespoon) | Vitamin Content (mg/tablespoon) | Thickeners (mg/tablespoon) | Cost (¢/tablespoon) |
|---|---|---|---|---|---|
| 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 |
Click here for the Excel Data File
Formulate and solve a linear programming model for this problem on a spreadsheet.
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Determine the quantity of each ingredient for the beverage.
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