Problem 1. CRAFT (30 points) We will use CRAFT to update the current layout. Only two-way exchanges will be considered. Consider cost of material movement per unit distance to be 1, indeed Vcij = 1. = OO OOom O o TO A B D E A A A B B B B FROM A A A A 3 5 2 B 0 A A 3 A 2 C 3 4 D D D E E E E D 0 0 3 D D D E E E E E 0 1 0 0 D D D E E E E From-To Chart Initial Layout Q1-1. Please develop the distance table first. We will use rectilinear distance. For your reference, the centroids of Departments D and E are (2,2) and (5.5, 2) Hints: AB = 4.5, AC = 4, AD = 3, AE = 6.5, BC = 1.5, BD = 7.5, BE = 4,CD = 6, CE = 2.5, DE = 3.5. CAAA O 01 CAAA O Q1-2. Two pairwise exchanges: D-E and A-B are considered. Please provide two permutation matrices for these exchanges. Q1-3. We will estimate the Z-score value for each pairwise exchange. Q1-3-1. What will be the updated distance matrix if you exchange Departments D and E? Q1-3-2. What will be the estimated Z-score when you exchange Departments D and E? Q1-3-3. What will be the estimated Z-score when you exchange Departments A and B? Q1-3-4. Based on your results of Q1-3-2, Q1-3-3, which pairwise exchange should be selected? Q1-4. Based on your selection from Q1-3-4, please update your layout and draw it. 1