A Firm Has Prepared the Following Binary Integer Program to Evaluate

question 25

Multiple Choice

A firm has prepared the following binary integer program to evaluate a number of potential new capital projects. The firm's goal is to maximize the net present value of their decision while not spending more than their currently available capital.
Max 100x1 + 120x2 + 90x3 + 135x4
s.t. 150x1 + 200x2 + 225x3 + 175x4 ? 500 {Constraint 1}
X1 + x2 + x3 + x4 ? 2 {Constraint 2}
X2 + x4 ? 1 {Constraint 3}
X2 + x3 ? 1 {Constraint 4}
X1 = x4 {Constraint 5} $$x _ { j } = \left\{ \begin{array} { l } 1 , \text { if project } j \text { is selected } \\0 , \text { otherwise }\end{array} \right.$$
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:

Selectively Permeable Membrane

A membrane that allows certain molecules or ions to pass through it by diffusion and occasionally specialized processes.

Distilled Water

Water that has been boiled into vapor and condensed back into liquid, removing impurities and minerals.

Mitochondria

Membrane-bound organelles found in the cytoplasm of almost all eukaryotic cells, essential for producing energy via the process of oxidative phosphorylation.

Active Transport

The movement of molecules across a cell membrane from a region of lower concentration to one of higher concentration, requiring energy.