Consider the transportation table below. The solution displayed was obtained by performing some iterations of the transportation method on this problem. Source Destination 2 $30 3 $30 $5 Capacity 50 A 40 10 $10 $10 $10 B 30 30 $20 $10 $25 75 30 60 45 55 Demand 40 The total cost of the current solution provided = 2975 dollars. Using stepping stone method, to perform an improvement iteration, the improvement index for the unused cell will be: A-2 = 40 B-1= -40 B-3 = - 15 C-1 = - 30 - Based on the improvement index for each of the unused cells, in the first improvement iteration, unused cell B-1 should get an assignment of 30 units. a) The improved transportation flow will be: (Note: You must enter a shipment in every cell, even if the shipment is 0.) 2 From 1 3 $301 $30 Capacity $5 50 A 10 40 $10 $101 $101 B 30 30 0 0 $200 $10 $250 60 75 15 b) The total cost of the improved solution = 1775 dollars. The solution achieved based on the one improvement, can be further improved by assigning quantity to C-1 The total cost of the optimal solution = 1450 dollars