A Firm Has Prepared the Following Binary Integer Program to Evaluate

question 73

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 ensures that at least two of the potential projects will be selected?

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

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Definitions:

Time Series Analysis

A forecasting method that uses historical sales data to identify patterns over a period of time.

Historical Sales Data

Records of past sales performance, used to identify trends, forecast future sales, and make informed business decisions.

Marketing Research

The process of gathering, analyzing, and interpreting information to help businesses make informed marketing decisions.

Competitive Advantage

The attributes or abilities of a firm that enable it to outperform its competitors, such as superior quality, cost structure, or customer service, resulting in greater sales or margins.