A Firm Has Prepared the Following Binary Integer Program to Evaluate

question 20

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

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

---

Definitions:

Moral Hazard

A situation where one party is more likely to take risks because they do not bear the full consequences of those risks.

Warranties

Guarantees issued by a manufacturer or seller to a buyer, promising to repair or replace a product if it fails within a certain period of time.

Education

The systematic process of facilitating learning, or the acquisition of knowledge, skills, values, beliefs, and habits through various methods such as teaching, training, storytelling, discussion, and research.

Extracurricular Activities

Activities that fall outside the scope of the regular academic curriculum but are still considered important for overall education.