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A Manufacturer of Nutritional Products Is Formulating a New Liquid

question 24

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A manufacturer of nutritional products is formulating a new liquid vitamin supplement. A bottle of the new product must contain at least 30 units of vitamin B and 50 units of vitamin C. A unit of vegetable extract (V) contains 1.2 units of vitamin B and .8 units of vitamin C. A unit of fruit extract (F) contains .25 units of vitamin B and 1.8 units of vitamin C. The cost of vegetable extract is $.05 per unit and fruit extract costs $.06 per unit. The firm's goal is to minimize its cost per bottle. Formulate a linear programming problem for the firm.


Definitions:

Person-Centered Therapy

A nondirective, humanistic therapy developed by Carl Rogers, in which the therapist creates an accepting climate and shows empathy, freeing clients to be themselves and releasing their natural tendency toward self-actualization.

Insight

The sudden realization of the relationship between elements in a problem situation, which makes the solution apparent.

Cognitive

Pertaining to the mental processes involved in knowledge, understanding, learning, and thinking.

Class Consciousness

The awareness and understanding of one's place in a system of social classes, especially as it relates to the struggle between those classes.

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