Your Express Package Courier Company Is Drawing Up New Zones

question 9

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.
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.
$$\begin{array} { l l } \text { Zone } & \text { Can Be Served By Locations: } \\\hline \text { Downtown Financial } & 1,2,5,6 \\\text { Downtown Legal } & 2,4,5 \\\text { Retail South } & 1,2,4,6 \\\text { Retail East } & 3,4,5 \\\text { Manufacturing North } & 1,2,5 \\\text { Manufacturing East } & 3,4 \\\text { Corporate West } & 1,2,6\end{array}$$

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Definitions:

Blu-Ray Disc Rentals

The service of providing Blu-Ray discs, which contain high-definition video content, for temporary use to customers for a fee.

Producing Online Movie Rentals

The business activity of offering movies for rent through internet platforms.

Cost To The Firm

The total expenses incurred by a company in producing goods or providing services.

Original Curve

Refers to the initial state or baseline condition of a graphical representation before any changes or impacts are applied.