A Cellular Phone Company Wants to Locate Two New Communications $\quad$

question 63

Essay

A cellular phone company wants to locate two new communications towers to cover 4 regions. The company wants to minimize the cost of installing the two towers. The regions that can be covered by each tower site are indicated by a 1 in the following table:
$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\underline{\text { Tower Sites }}$
$\begin{array}{ccccc}\text { Region } & 1 & 2 & 3 & 4 \\\hline \text { A } & & 1 & & 1 \\\text { B } & 1 & & 1 & 1 \\\text { C } & 1 & 1 & 1 & \\\text { D } & 1 & & & 1 \\\hline \text { COST }(\$ 000 \mathrm{~s}) & 200 & 150 & 190 & 250\end{array}$
Formulate the ILP for this problem.

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Definitions:

Asch's Studies

A series of experiments by Solomon Asch on conformity, demonstrating that social pressure can significantly influence a person's judgments and decisions.

Conformity

The act of matching attitudes, beliefs, and behaviors to group norms, values, or expectations.

High Status

A position of authority or elevated standing in a social, professional, or other hierarchy.

Personal Control

The extent to which an individual feels they can influence or shape the outcomes in their life.