A Firm Has Prepared the Following Binary Integer Program to Evaluate

question 36

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} $$x _ { j } = \left\{ \begin{array} { l } 1 , \text { if loaction } j \text { is selected } \\0 , \text { otherwise }\end{array} \right.$$
Which of the constraints ensures that at least two of the potential sites will be selected?

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

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Definitions:

Separation Stage

A phase in a relationship or process where individuals or entities start to distance or detach from one another, often leading to a termination of the relationship or transition to a new phase.

Outside World

Refers to the external environment or society that exists beyond one's personal or immediate experience.

Power And Control Stage

A phase in certain relationships characterized by one party seeking to dominate or exert undue influence over another, often discussed in the context of abusive dynamics.

Hierarchy

A system or organization in which people or groups are ranked one above the other according to status or authority.