Question: Problem (Algorithmic Find the shortest route from node 1 to node 7 in the network shown. If the constant is 1 it must be entered

Problem (Algorithmic Find the shortest route from

Problem (Algorithmic Find the shortest route from node 1 to node 7 in the network shown. If the constant is "1" it must be entered in the box. If your answer is zero enter "O". For negative values enter "minus" sign (-). 5 5 6 7 11 3 7 10 18 19 Let tij i if the arc from node i to node j is on the shortest route To otherwise Min X12 + X13 + X14 + X23 + X25 + X32 + X35 + X46 + X52 + X53 + X56 + X57 + X65 + X67 s.t. Flow Out Flow In Node 1 X12 + X13 + X14 Node 2 X23 + X25 + X12 + X32 + X52 Node 3 X32 + X35 + X13 + X23 + X53 llll Node 4 X46 + X14 X52 + X53 + X56 + Node 5 + x25 + X35 + X65 X57 Node 6 X65 + X67 + X46 + X56 Node 7 + X57 + X67 Let lig 1 if the arc from node i to node j is on the shortest route jo otherwise Min X12 + X13 + X14 + X23 + X25 + X32 + X35 + X45 + X52 + X53 + X56 + X57 + X65 + X67 s.t. Flow Out Flow In Node 1 X12 + X13 + X14 Node 2 X23 + X25 + X12 + X32 + X52 Node 3 X32 + X35 X13 + X23 + X53 + + Node 4 X46 X14 X52 + X53 + X56 + Node 5 + X25 + X35 + X65 X57 Node 6 X65 + X67 + X46 + X56 Node 7 + X57 + X67 Xij 2 0 for all i and Optimal Solution: Variable Value X12 X13 X14 X23 X25 X32 X35 X46 X52 X53 X56 X57 X65 X67 Shortest Route: Length

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