Slim-Down Manufacturing makes a line of nutritionally complete,weight-reduction beverages.One of their products is a strawberry shake which is designed to be a complete meal.The strawberry shake consists of several ingredients.Some information about each of these ingredients is given below. The nutritional requirements are as follows.The beverage must total between 380 and 420 calories (inclusive).No more than 20% 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 which would minimize cost while meeting the above requirements.Formulate a linear programming model for this problem.

Question

Slim-Down Manufacturing makes a line of nutritionally complete,weight-reduction beverages.One of their products is a strawberry shake which is designed to be a complete meal.The strawberry shake consists of several ingredients.Some information about each of these ingredients is given below.  The nutritional requirements are as follows.The beverage must total between 380 and 420 calories (inclusive).No more than 20% 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 which would minimize cost while meeting the above requirements.Formulate a linear programming model for this problem.

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The Answer of Slim-Down Manufacturing makes a line of nutritionally complete,weight-reduction beverages.One of their products is a strawberry shake which is designed to be a complete meal.The strawberry shake consists of several ingredients.Some information about each of these ingredients is given below.  The nutritional requirements are as follows.The beverage must total between 380 and 420 calories (inclusive).No more than 20% 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 which would minimize cost while meeting the above requirements.Formulate a linear programming model for this problem.

Slim-Down Manufacturing Makes a Line of Nutritionally Complete,weight-Reduction Beverages