4) (10 points) Answer the following questions using the MULTIPLE layout algorithm. a. Consider a facility with four departments (A through D) with the following area requirements: A-2 grids, B1-6 grids, C-4 grids, and D-4 grids. Using the spacefilling curve shown below, show the layout that would be obtained from the sequence A-B-C-D. Draw the layout at the top of the next page. This is layout #1. (0,4) (0,0) (4,0) Start End b. Compute the coordinates of the centroid of each department. Assume the coordinates of the lower-left corner of the facility are (0, 0) and the coordinates of the lower-right corner of the facility are (4, 0). Centroid of department A: Centroid of department B: Centroid of department C: Centroid of department D: Using the information from part (a), show the layout that would be obtained by exchanging departments B and D. Draw the layout at the bottom of the next page. This is layout #2. d. Compute the new coordinates of the centroid of each department. Centroid of department A: Centroid of department B: Centroid of department C: Centroid of department D: e. In this facility, the overwhelming majority of material movement is between depar B and D. Given this information, which layout has less material movement? Lay or Layout #2