Use the Simplex Method to Solve the Following Problem: United

question 9

Short Answer

Use the simplex method to solve the following problem: United Blimpo Co.produces two types of exercise devices,regular and heavy-duty,each of which requires in its manufacture the use of two machines,A and B.A regular model requires the use of machine A for 2 hours and machine B for 3 hours.A heavy-duty model requires the use of machine A for 3 hours and machine B for 3 hours.Machine A can be used at most 18 hours a day and machine B can be used at most 21 hours a day.If the profits on the regular and heavy-duty models are $20 and $15,respectively,and United Blimpo Co.can sell all it produces,how many of each model should be produced per day in order to realize maximum profit? What is the maximum profit per day?

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Definitions:

Referent Power

Referent power is a form of personal power that stems from being admired, respected, and liked by others, often leading to influence through the desire of others to be associated with the person.

Legitimate Power

The authority that a person or a position holds, which is recognized as rightful by those they govern or lead, often derived from official or formal roles.

Expert Power

The influence and authority one possesses as a result of one's experience, skills, or knowledge in a specific area.

Reward Power

The capacity to influence others' behavior by offering them positive incentives.