Question: 8. Consider a single facility rectilinear minisum location problem with ex- isting facilities located at (2,10), (7,9), (7,12), (3,15), and (1,14). The flows from the

8. Consider a single facility rectilinear minisum

8. Consider a single facility rectilinear minisum location problem with ex- isting facilities located at (2,10), (7,9), (7,12), (3,15), and (1,14). The flows from the new facility to these existing facilities are 5,5,10, 20 and 20 units respectively. a. Find the optimal location of the new facility and its cost. b. Now assume that two new facilities are planned. The first new facility is assigned to old facilities 1, 2 and 3 and the second new facility is assigned to old facilities 4 and 5. Assume that all flows take place from the old facilities to the assigned new facility (no flows to a given new facility if the old facility is not assigned to that facility). Find the optimal location of the facilities and the resulting total cost

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