Question: The Navy has established a distribution network for the supply of a materials critical to its functioning. The materials have to ship from Albany, Georgia

The Navy has established a distribution network for the supply of a materials critical to its functioning. The materials have to ship from Albany, Georgia and Atlanta, Georgia to Norfolk, Pensacola and West Point. Norfolk has a demand of 2500 lbs, Pensacola has a demand of 3000 and West Point has a demand of 4000. Both Albany and Atlanta have supply capacity of 5000 pounds of material each.

The transportation costs per pound are given below:

	Norfolk	Pensacola	West Point
Albany	$5	$7	$8
Atlanta	$6	$3	$6

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

How many pounds of materials are transported from Atlanta to the three destination locations?
What is the total cost of this distribution network?

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