You Are Faced with a Linear Programming Objective Function Of

question 27

Multiple Choice

You are faced with a linear programming objective function of: Max P = $20X + $30Y
And constraints of:
3X + 4Y = 24 (Constraint A)
5X - Y = 18 (Constraint B)
You discover that the shadow price for Constraint A is 7.5 and the shadow price for Constraint B is 0. Which of these statements is True?

• A) You can change quantities of X and Y at no cost for Constraint B.
• B) For every additional unit of the objective function you create, you lose 0 units of B.
• C) For every additional unit of the objective function you create, the price of A rises by $7.50.
• D) The most you would want to pay for an additional unit of A would be $7.50.

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Definitions:

Instrumental Communication

Communication that is directed toward completion of tasks or the achievement of specific objectives.

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A concept in moral philosophy, often associated with Immanuel Kant, that individuals or beings have an intrinsic value and should not be used merely as means to an end by others.

Trust

A firm belief in the reliability, truth, ability, or strength of someone or something.

Competitive Society

A societal structure characterized by individuals and groups competing for resources, recognition, and success, often highlighting performance and achievement as key values.