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Shortest Path Problem

Mike Mangold (another OSU alumni) is anxious about leaving work and driving to see his "significant other" for the weekend.  He also took Dr. Mark's BusMgt 2321 class and wants to use what he learned in class to solve the problem.  He has analyzed the roads from his office (Node "L") and this destination (Node "A"). The network is shown below. Formulate as a linear program to determine the shortest distance between nodes "L" and "A" and what path yields that shortest distance?

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