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

question 9

Essay

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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Definitions:

Animal Research

The use of non-human animals in scientific experiments to study biological processes, diseases, and behaviors.

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The process by which individuals acquire and evolve their learning, perceiving, remembering, and thinking skills.

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The activities and processes that occur within the brain to support mental and physical actions, including cognition, emotion, and coordination.

Mathematical Summaries

Concise representation of a larger set of data or mathematical information, often in the form of averages, medians, modes, or graphs.