Question: Problem 1 Consider the following transportation problem with the goal of minimizing total cost: Source 1 Source 2 Demand Dest. 1 $3 $5 2500 Dest.

Problem 1 Consider the following transportation

Problem 1 Consider the following transportation problem with the goal of minimizing total cost: Source 1 Source 2 Demand Dest. 1 $3 $5 2500 Dest. 2 $1 $9 1000 Supply 2000 2000 The cost ($/ unit) for transporting from source i to demand j is given in the table. The demand for each destination and the supply from each source is also given in the demand row and the supply column, respectively. a) Is this a balanced transportation problem? Why? If it is not balanced, modify the transportation table to make it balanced. b) Use the Northwest Corner method to find an initial solution to the problem. What is the total cost? c) Check the optimality of the initial solution obtained. Is this solution optimal? If not, use the transportation algorithm to find the optimal solution and the optimal total cost

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