Your Express Package Courier Company Is Drawing Up New Zones

question 43

Essay

Your express package courier company is drawing up new zones for the location of drop boxes for customers. The city has been divided into the seven zones shown below. You have targeted six possible locations for drop boxes. The list of which drop boxes could be reached easily from each zone is listed below. $\begin{array}{lc}\text { Zone } & \text { Can Be Served By Locations: } \\\text { Downtown Financial } & 1,2,5,6 \\\text { Downtown Legal } & 2,4,5 \\\text { Retail South } & 1,2,4,6 \\\text { Retail East } & 3,4,5 \\\text { Manufacturing North } & 1,2,5 \\\text { Manufacturing East } & 3,4 \\\text { Corporate West } & 1,2,6\end{array}$ Let x_i = 1 if drop box location i is used, 0 otherwise. Develop a model to provide the smallest number of locations yet make sure that each zone is covered by at least two boxes.

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Definitions:

Number Facility

The capability to easily understand numbers and perform mathematical operations.

Induction

The process of reasoning from specific instances to general principles.

Impulsive Style

A behavioral tendency characterized by acting on the spur of the moment without much deliberation or consideration for the consequences.

Respond Quickly

The ability or act of reacting or answering promptly to stimuli or inquiries.