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A firm has established a distribution network for the supply of a raw material critical to...

A firm has established a distribution network for the supply of a raw material critical to its manufacturing. Currently there are two origins for this material, which must be shipped to three manufacturing plants. The current network has the following characteristics:

Costs

Plant 1

Plant 2

Plant 3

Supply

Raw material source 1

$6

$8

$9

400

Raw material source 2

$4

$7

$3

600

Demand

500

500

500

Supply < Demand

The firm has identified two potential sites for a third raw material source; these are identified as Candidate A and Candidate B. From A, the costs to ship would be $9 to Plant 1, $10 to Plant 2, and $12 to Plant 3. From B, these costs would be $11, $14, and $8. The new source, wherever it is located, will have a capacity of 500 units. Solve with the transportation method. Which site should be selected?

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