2. The from-to material flow matrix for an eight department facility is given in the table below. Dept. Area A B D E F G H A 2800 302 0 0 0 66 0 68 B 2100 504 20 136 154 56 40 2600 76 352 0 122 94 D 400 0 0 180 8 E 600 122 0 282 F 400 188 24 G 2300 296 H 1800 The area given are in terms of square feet. These 8 departments will be placed in a 130 ft. (length) x 100 ft. (width). - a) Develop an initial layout using LOGIC. Use vertical cut for odd-numbered cut (first, third, fifth cut, etc.) and horizontal cut for even-numbered cut (second, fourth cut, etc.). Assume that Departments A, C, and H are at the west side of the facility. Determine the cost of initial layout. b) Assume that the flow matrix is replaced by relationship chart as shown below. Dept. A B D E F G H A E 0 U U U B A 0 E E U X E A D U U E o F U G U H E 0 0 E - b.1) Develop an initial layout (with three bands) using MCRAFT. Use a layout vector derived from relationship diagramming procedures. Determine the normalized adjacency score of the initial layout (A = 10, E = 6, I = 4, 0 = 2, U = 1, and X = -10) b.2) Develop an initial layout (with three bands) using BLOCPLAN. Departments Cand Hare in the first band, departments A, D, E, and Fare in the second band, and departments B and Gare in the third band. Compute the adjacency score of the initial layout (A = 10, E = 6, 1 = 4,0 = 2, U = 1, and X = -10). b.3) Using the initial layout in b.2, develop a layout if departments A and Care exchanged. Is this a better layout? Support your