A new machine is to be placed in a flexible manufacturing cell consisting of four CNC machines that are located at the following coordinates: (10, 10), (2, 10), (10, 2), and (5, 1). The interactions, i.e., number of trips, between the new machine and the existing ones are 6, 10, 10, and 6 units per time period. Determine the optimal coordinates of the new machine, assuming travel is along vertical and horizontal aisles