Question: The Army has established a distribution network for the supply of a materials critical to its functioning. These materials have to ship from Fort Dix,

The Army has established a distribution network for the supply of a materials critical to its functioning. These materials have to ship from Fort Dix, NJ, Fort Hamilton, NY and Philadelphia, PA to San Diego, CA and Norfolk, VA. San Diego has a demand of 4000 lbs, and Norfolk has a demand of 3500 lbs. The three supply locations can supply 2500 lbs of materials each.

Transportation costs per pound are given below:

	San Diego	Norfolk
Fort Dix	$9	$6
Hamilton	$8	$10
Philadelphia	$10	$11

Formulate and solve a linear program to determine the shipping arrangements that will minimize the total shipping cost.

What is the objective function?
What are the constraints?
How many pounds of materials are transported from Fort Dix to the two destination locations?
How many pounds of materials are transported from Fort Hamilton to the two destination locations?
How many pounds of materials are transported from Philadelphia to the two destination locations?
What is the total cost of this distribution network?

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