Consider the following shortest-route problem involving six cities with the distances given. Draw the network for this problem and formulate the LP for finding the shortest distance from City 1 to City 6.



What will be an ideal response?




Min 3X12 + 2X13 + 4X24 + 5X25 + 3X34 + 7X35

+ 4X42 + 3X43 + 6X46 + 5X 52 + 7X53 + 2X56



s.t. X12 + X13 = 1

?X12 + X24 + X25 ? X42 ? X52 = 0

?X13 + X34 + X35 ? X 43 ? X53 = 0

?X24 ? X34 + X42 + X43 + X46 = 0

?X25 ? X35 + X52 + X53 + X56 = 0

X46 + X56 = 1

Xij ? 0 for all i and j

Business

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What will be an ideal response?

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What will be an ideal response?

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