A Firm Has Prepared the Following Binary Integer Program to Evaluate

question 12

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 constraint ensures that the firm will not spend more capital than it has available (assume that each potential location has a different cost) ?

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

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Definitions:

Group Pressure

The influence exerted by a group on individual members to conform to the expectations, behaviors, or norms established by the group.

Group Control

The exercise of authority or influence by a person or group over the collective behavior in a group setting.

Idiosyncrasy Credits

The tolerance a person earns over time by conforming to group norms, allowing them more freedom to deviate from expectations without negative consequences.

Conformity

The act of matching attitudes, beliefs, and behaviors to group norms, policies, or societal expectations.