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

---

Definitions:

Supply Chain Management

The coordinating and managing of all activities involved in sourcing, procurement, conversion, and logistics management of products.

Computerized System

An electronic system that uses computers and software to manage, control, or perform a task or process.

Manual System

A system where operations, transactions or processes are carried out without the use of automated or electronic systems, typically involving physical documentation and human intervention.

Internal Controls

Processes and procedures implemented by a company to safeguard its assets, ensure financial report accuracy, and promote operational efficiency.