Question: please solve question 1 and 2 A new machine should be placed in a plant. Location of the existing machines (a,b) and the material movement

please solve question 1 and 2 please solve question 1 and 2 A new machine should be placed

A new machine should be placed in a plant. Location of the existing machines (a,b) and the material movement between the new machine and the existing machines (w) are provided in the given table. a) Assume rectilinear distances and find the location for the new machine to minimize total weighted distance. Calculate the corresponding objective function value. b) Solve the same problem using squared Euclidean distances. c) Draw the contour lines for the rectilinear distance case passing through the points (24,28),(15,35) and (48,35) respectively. Q2. Five existing facilities are located at P1=(7,10),P2=(15,7),P3=(15,3),P4=(12,0) with w1=160,w2=40,w3=60,w4=140. a) Determine the optimum minisum location for a single new facility when cost is proportional to rectilinear distance. b) Suppose that you leam that the optimal location of the new facility cannot be used. However two viable alternatives have been determined for the location of the new facility. These are FI=(12,0) and F2=(7,10). Which one should be preferred? Why? c) Solve this problem as a minisum facility location problem using squared Euclidean distances

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