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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?

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Definitions:

N1 Sleep

The initial stage of the sleep cycle, characterized by light sleep and the transition from wakefulness into deeper sleep stages.

N2 Sleep

A stage of sleep characterized by sleep spindles and K-complexes, representing a deeper sleep than N1 and precedes the deep sleep stages.

N3 Sleep

The third stage of non-REM sleep, characterized by deep sleep and the presence of delta waves in the brain.

REM Sleep

A phase of sleep characterized by rapid eye movement, low muscular tone, and the propensity for dreaming, playing a crucial role in learning and memory consolidation.

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