A Manufacturer of Nutritional Products Is Formulating a New Liquid

question 37

Essay

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 0.8 units of vitamin C.A unit of fruit extract (F)contains 0.25 units of vitamin B and 1.8 units of vitamin C.The cost of vegetable extract is $0.05 per unit and fruit extract costs $0.06 per unit.The firm's goal is to minimize its cost per bottle.Formulate a linear programming problem for the firm.

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Definitions:

Compensating Differential

Additional wage or benefit that compensates workers for unpleasant, risky, or demanding work conditions.

Economic Income

The total value of all income earned, including both monetary and non-monetary gains, over a period of time.

Transfer Payment

Payments made by the government to individuals or other organizations without expecting a good or service in return.

African-American Persons

Individuals of African descent living in the United States, often with a history linked to enslavement and civil rights struggles.