2. A manufacturing company has six departments located in two buildings, as shown in the figure below. The company is contemplating a rearrangement of departments to minimize the total flow cost between department centroids. The flow data and cost data is provided below. Suppose the given layout is the initial layout to CRAFT. Answer the following questions(30 Points). -20 ft. -20 ft. < 40 ft. -20 ft. 20 ft. ABCDL E F A B A - C C 8 0 D FLOW-BETWEEN MATRIX B 0 0 K@ 8 - 30 ft. 30 ft. E43 1 6 F 4 - A BUDE F A - E F LL - D NO UNIT COST ($/UNIT DIST) B E F 1 1 2 2 40 ft. 1 *24 20 ft. ~/3 2 1 3 5454 1 . (a) [10 points] List all department pairs that CRAFT would consider exchanging. You do not have to compute their associated cost. (b) [10 points] What is the actual cost computed by CRAFT for the initial layout? c) [10 point] Considering an exchange of departments C and D, what will be possible cost change comparing to the initial one(10-points)?