Q1: A manufacturing facility consists of eight departments, A, B, C, D, E, F, G and H. It produces six components 1, 2, 3, 4, 5, and 6. The manufacturing product routings and production volumes are as follows: Component 1 2 234 5 6 Production Routing Units per Week (Volumes) A-B-C-E-H 30 A-C-D-H A-B-C-D-H 25 20 A-B-G-H A-D-E-F-H A-E-F-G-H 10 15 20 By taking these routing and volume information into account, and using graph theoretic heuristic, identify a final graph (deltahedron). Develop a block layout alternative with the dual of the graph.