Present the best possible solution using a 4 by 4 matrix

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Reference no: EM133412050

Question: The transportation manager must select the best way to supply four customers from the company's four warehouses. 

The objective is to minimize the transportation costs of shipping of goods from the warehouses to the four customers. There are various costs, and several constrains in the supply and demand aspects. The underlying objective is to minimize the costs for the whole system. The table below provides the supply and demand aspects on the left and the per unit costs for each supply/demand possibility on the right. 

Warehouses  Supply   Customers  Demand   Customers A B C D
1 300   200 1   $5 $5 $8 $9
2 350   B   500 $7 $11 $6 $11
3 400   C 500 3 $6 $6 $7 $8
4 550   D 400 4 $4 $5 $6 $12
Total  1,600    Total  1,600   

The problem is to determine how many units of the products from suppliers to each of the customers based on minimizing the total cost of transportation. The objective is to minimize Z.  Write the costs equations. Provide several options for obtaining a solution. Present the best possible solution using a 4 by 4 matrix.

Reference no: EM133412050

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