qustions and requriment on the image.

( 100 points) Omzig, Inc produces 3 different widgets: a. type 1, which undergoes operations at machine A, then D, then C; b. type 2, which undergoes operations at machine E, then B, then C; c. type 3, which undergoes operations at machine D, then B, then A. The (centers of) machines A, B, C, D, and E are located at (x,y)-coordinates (10, 15), (20, 40),(60,30),(35,15), and (5,40), respectively, in feet. See Figure 1 below. rigure 4 a. ( 20 points) Give the asymmetric flow matrix (# trips/year). Assume 0% scrap rates. b. ( 60 points) Calculate the distance matrix for each of these distance measures: - Euclidean, - Rectilinear, and - Tchebychev. c. (20 points) If rectilinear distances are used and the parameter cij (defined in the course notes) equals one cent per foot, what is the "usual" objective function for the layout in Figure 1? ( 100 points) Omzig, Inc produces 3 different widgets: a. type 1, which undergoes operations at machine A, then D, then C; b. type 2, which undergoes operations at machine E, then B, then C; c. type 3, which undergoes operations at machine D, then B, then A. The (centers of) machines A, B, C, D, and E are located at (x,y)-coordinates (10, 15), (20, 40),(60,30),(35,15), and (5,40), respectively, in feet. See Figure 1 below. rigure 4 a. ( 20 points) Give the asymmetric flow matrix (# trips/year). Assume 0% scrap rates. b. ( 60 points) Calculate the distance matrix for each of these distance measures: - Euclidean, - Rectilinear, and - Tchebychev. c. (20 points) If rectilinear distances are used and the parameter cij (defined in the course notes) equals one cent per foot, what is the "usual" objective function for the layout in Figure 1