Problem 1 (7 marks) Assume that there is moving Machine X to be located along the main aisle of an industrial plant. The vendor wishes to locate Machine X so that the total walking distance for his customers is minimized. On a coordinate system the main aisle runs parallel to the x-axis at y=10. Workstations are located at the following coordinate points. Assuming travel from the workstations to the main aisle is rectilinear. Station Location Station Location 1 6 (12.12) 2 (4.12) 7 (10.4) 3 (6.4) 8 (12.6) 4 6,12) 9 (8,14) 5 (8,8) 10 (10.14) 1.1 (4 marks) If one customer is located at each station, where should Machine X be located along the main aisle to minimize cumulative customer walking distance Calculate the value of this solution 1.2 (3 marks) Solve part (1.1) by assuming travel must occur along a tree network