A new assembly machine is to be placed in a flexible manufacturing cell consisting of four automated machines that are located at these coordinates: (, ), (, ), (, ), and ( ). The interactions (i.e. number of trips) between the new assembly machine and the existing ones are , , , and units per time period. Which one of the following coordinates is closest to the solution of the above facility location problem in order to minimize sum of the weighted orthogonal distances to be moved?

a. (,)

b. (, )

c. (,)

d. (,)

[ 4 pts. ] A new assembly machine is to be placed in a flexible manufacturing cell consisting of four automated machines that are located at these coordinates: (1.411, 1.528), (7.996, 1.059), (2.988, 0.818), and (1.396 2.189). The interactions (i.e. number of trips) between the new assembly machine and the existing ones are 12, 9,7, and 8 units per time period. Which one of the following coordinates is closest to the solution of the above facility location problem in order to minimize sum of the weighted orthogonal distances to be moved? Select one: a. (3.411,1.528) b. (1.411, 1.528) C. (1.411,-0.472) d. (0.411,4.528)