DSCI 5210 model based business intelligence

Please refer to the Network Diagram below. Let Xi] represent the number of units shipped from i to j' where i= 1, 2' 3 and i=4, 5. an: objective function is to minimize overall transportation cost while making sure all demand is met. Answer each question independently of the other questions. Unit shipping costs are intentionally hidden from the diagram. ' Demand Supply Plants Retailers 50 100 50 110 Under which of the following situations (consider them separately) would we still be able to meet all of the demand? 1. Route 16 is removed. 2. Retailer 5's demand is increased to 50 units. 0 Neitherl nor ll 0 Onlyl 0 Only || 0 Both 1 and II Suppose that the original problem has a unique, non-degenerate solution. Part of this solution requires Plant 2 to send 20 units to Retailer 4, 10 units to Retailer 5 and 20 units to Retailer 6. Then, Plant 2's capacity increases by 10 units due to improved productivity. If we solve the new problem. what would happen to the objective function value (the total transportation cost)? 0 None of the others 0 The objective function value would decrease. O The objective function value would increase. 0 The objective function value would not change. 0 The problem actuallyI would become infeasible