(a) Compute the dual variables and reduced costs for the optimal transportation problem solution shown in Figure 2.43.
(b) Suppose we were required to ship 10 units from supply point 2 to
demand node 1 (the cell with a unit cost of 31). All total
demands and supplies remain unchanged. What will the new total
cost be?
(c) For the case described in part (b), how will the flows change?
(d) Going back to the solution shown in part (a), the supply at node
2 increased to 230 and the supply at node 3 decreased to 175 simultaneously. What will the new total cost be?
(e) For the case described in part (d), how will the flows change?
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