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7 . 8 Show that the performance guarantee of the primal - dual algorithm for the uncapacitated facility location algorithm in Section 7 . 6

7.8 Show that the performance guarantee of the primal-dual algorithm for the uncapacitated
facility location algorithm in Section 7.6 can be strengthened in the following way. Suppose
that the algorithm opens the set T?
u of facilities and constructs the dual solution (v,w).
Show that
)')'
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