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A Manufacturer Wants to Construct Warehouses in Six Different Locations

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Essay

A manufacturer wants to construct warehouses in six different locations of the city to supply dry cells to his customers on time. The manufacturer wants to construct the minimum number of warehouses, to meet the market demand on time, such that at least one warehouse is within 40 miles from each other warehouse. The following table provides the distance (in miles) between the locations.
A manufacturer wants to construct warehouses in six different locations of the city to supply dry cells to his customers on time. The manufacturer wants to construct the minimum number of warehouses, to meet the market demand on time, such that at least one warehouse is within 40 miles from each other warehouse. The following table provides the distance (in miles) between the locations.     Formulate and solve an integer linear program that can be used to determine the minimum number of warehouses needed to be constructed. What are their locations?
Formulate and solve an integer linear program that can be used to determine the minimum number of warehouses needed to be constructed. What are their locations?


Definitions:

Limbic System

A group of structures in the brain associated with emotions and feelings; involved with producing sexual arousal.

Vagus Nerve Network

A system of fibers belonging to the tenth cranial nerve that innervates the heart, lungs, and digestive tract, playing a key role in the autonomic nervous system.

Endocrine System

A network of glands in the body that produces hormones to regulate important bodily functions such as growth, metabolism, and reproduction.

Sex Flush

A reddening of the skin that can occur during sexual arousal or activity due to increased blood flow.

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