A Firm Has Prepared the Following Binary Integer Program to Evaluate

question 24

Multiple Choice

A firm has prepared the following binary integer program to evaluate a number of potential locations for new warehouses. The firm's goal is to maximize the net present value of their decision while not spending more than their currently available capital.
Max 20x1 + 30x2 + 10x3 + 15x4
s.t. 5x1 + 7x2 + 12x3 + 11x4 ? 21 {Constraint 1}
X1 + x2 + x3 + x4 ? 2 {Constraint 2}
X1 + x2 ? 1 {Constraint 3}
X1 + x3 ? 1 {Constraint 4}
X2 = x4 {Constraint 5} $$x _ { j } = \left\{ \begin{array} { l } 1 , \text { if location } j \text { is selected } \\0 , \text { otherwise }\end{array} \right.$$
Which of the constraints enforces a contingent relationship?

• A) Constraint 1
• B) Constraint 2
• C) Constraint 3
• D) Constraint 4
• E) Constraint 5

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Definitions:

Symptom Substitution

A theory suggesting that if a symptom is removed without resolving the underlying cause, a new symptom will emerge to take its place.

Problem Reduction

Problem reduction is a strategy in problem-solving processes that involves breaking down a larger, often complex problem into smaller, more manageable parts to address them individually.

Joseph Wolpe

A psychiatrist who significantly contributed to the development of behavioral therapy through techniques like systematic desensitization.

Conditioning

The process of learning associations between environmental stimuli and behavioral responses, often used to explain behavior modification.