Question: Consider single-facility rectilinear mini sum location problem. Four existing facilities are located at (7,4), (4,6), (9,10), (12,6). The weights are 30, 40, 55, and 80

Consider single-facility rectilinear mini sum location problem. Four existing facilities are located at (7,4), (4,6), (9,10), (12,6). The weights are 30, 40, 55, and 80 respectively. a) Write the mathematical formulation of the problem in open form. b) Linearize this model. c) Sketch the graphs of the objective functions for the x and y variables. d) Determine the optimum coordinates.

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