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A residential moving company needs to move a family from city 1 to city 1 2 in the following figure where the numbers on the

A residential moving company needs to move a family from city 1 to city 12 in the following figure where the numbers on the arcs represents the driving distance in miles between cities. 45918037062142043023345440813654343554152405575152901076842311712312 Network flow model for the moving company problem a) Formulate an LP model to find the shortest path from city 1 to city 12 for this problem. b) Create a spreadsheet model for this problem and solve it using Solver. What is the optimal solution? c) Suppose the moving company gets paid by the mile and, as a result, wants to determine the longest path from city 1 to city 12. What is the optimal solution? d) Now suppose travel is permissible in either direction between cities 6 and 9. Describe the optimal solution to this problem.

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