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Question: consider the facility location problem where there are four facilities...

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Consider the facility location problem where there are four facilities are located at the following coordinates: (3,0)𝑇,(0,βˆ’3)𝑇,(2,1)𝑇, and (1,4)𝑇. Formulate an LP of finding the optimal location for a new facility (π‘₯1,π‘₯2)𝑇so that the sum of distances from the new facility to the four existing facilities can be minimized. Note 1: Use the β€œstreet distance” (rectilinear norm). For instance, the street distance between the new facility (π‘₯1,π‘₯2)𝑇 and the facility at (3,0)𝑇 is |π‘₯1 βˆ’ 3| + |π‘₯2|. Note 2: Clearly define decision variables and state the objective function and constraints.Β Β 

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