Question: Show that the Bellman-Ford algorithm, when run on the constraint graph for a system Ax b of difference constraints, minimizes the quantity (max {x

Show that the Bellman-Ford algorithm, when run on the constraint graph for a system Ax ≤ b of difference constraints, minimizes the quantity (max {x_i} – min {x_i}) subject to Ax ≤ b. Explain how this fact might come in handy if the algorithm is used to schedule construction jobs.

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