The University Administration Would Like to Add Some Additional Parking $$x _ { j } = \left\{ \begin{array} { l } 1 , \text { if project } j \text { is selected } \\0 , \text { otherwise }\end{array} \right.$$

question 57

Multiple Choice

The university administration would like to add some additional parking locations. To make everyone happy, they would like each building to be within a 5 minute walk of one set of new parking spaces (the spaces will be added in blocks of 10 parking spaces) . The university is considering six locations for the new parking spaces, but would like to minimize the overall cost of the project. In addition to the walking time requirement, the university would like to add at least 40 new parking spaces (at least 4 blocks of 10) . To help with the decision, the management science department formulated the following linear programming model:
Min 400x1 + 375x2 + 425x3 + 350x4 +410x5 + 500x6
S.t. x1 + x2 + x5 + x6 ? 1 {Residence Hall A constraint}
X1 + x2 + x3 ? 1 {Residence Hall B constraint}
X4 + x5 + x6 ? 1 {Science building constraint}
X1 + x4 + x5 ? 1 {Music building constraint}
X2 + x3 + x4 ? 1 {Math building constraint}
X3 + x4 + x5 ? 1 {Business building constraint}
X2 + x5 + x6 ? 1 {Auditorium constraint}
X1 + x4 + x6 ? 1 {Arena constraint}
X1 + x2 + x3 + x4 + x5 + x6 ? 4 {Total locations constraint} $$x _ { j } = \left\{ \begin{array} { l } 1 , \text { if project } j \text { is selected } \\0 , \text { otherwise }\end{array} \right.$$
Which of the constraints is a set covering constraint?
I. Residence Hall A constraint.
II. Science building constraint.
III. Total locations constraint.

• A) I only
• B) II only
• C) III only
• D) All of these
• E) I and II only

---

Definitions:

Reports

Documents that present and analyze information or findings, often resulting from research, investigation, or an assessment, to communicate insights or recommendations.

Table

A set of data arranged in rows and columns that is used to organize information.

Secondary Data

Information that has been previously collected and is available for use by others, not originally gathered for the current research need.

Primary Data

Data collected directly through original research, such as surveys or experiments, providing firsthand information specific to the researcher's study.