A Firm Has Established a Distribution Network for the Supply

Essay

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 raw material, which must be shipped to three manufacturing plants. The current network has the following characteristics:
$\begin{array}{|l|r|r|r|r|}\hline\text { COSTS } & \text { Plant 1 } & \text { Plant 2 } & \text { Plant 3 } & \text { Supply } \\\hline\text { Raw material source 1 } & \$ 6 & \$ 8 & \$ 9 & 400 \\\hline\text { Raw material source 2 } & \$ 4 & \$ 7 & \$ 3 & 600 \\\hline\text { Demand } & 500 & 500 & 500 & 1500 \backslash 1000\\\hline\end{array}$
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?