Question 2(15 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. a.(8 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. b.(7 marks) Solve part (a) using the majority algorithim by assuming travel must occur along a tree network