Universal Paper has the following 6 demand locations. Help Universal to determine the locationof a…

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Universal Paper has the following 6 demand locations. Help Universal to determine the locationof a new plant to meet this demands.
(a) (15 pts) Consider the (unweighted) rectilinear (street) distance (the minimax problem).
(b) (10 pts). If the new plant is located at (30,28), calculate the total (unweighted) rectilinear(street) distance from demand locations to the new plant.
(c) (10pts). If the new plant is located at (30,28), calculate the total weighted rectilinear (street)distance from demand locations to the new plant.
(d) (10pts) Consider the gravity problem discussed in class. Find the location of the new plant.

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