(A) Use the appropriate location procedure to determine the optimal coordinates of a new machine based on the following assumptions. (Please show the details of your work: Not just the final answer): Traffic pattern: Rectilinear Objective: Minimizing cost Coordinates of the existing machines (5,2),(4,8),(10,12),(3,20),(7.7) Total weight of material to be moved between the new machine and the existing ones: 11000, 27500, 22000, 3000 and 17000 pounds per week, respectively. (B) Calculate cost in distance-weight units