Consider a production system of a factory in which group technology is tried to apply. Groups are planned to include 4 machines however, it is not allowed to assign more than one F Machine in a single group because of the physical constraints. Utilizations are given in the table. Using single pass heuristic approach, construct a set of groups. Write the parts and machines assigned to each group. Is your solution optimal? (17 pts) Parts Machine Type 1 2 3 4 7 A 0.3 0.6 B 0.3 0.3 0.1 C 0.4 0.6 0.3 D 0.5 0.4 0.6 0.5 E 0.4 0.5 F 0.2 0.5 0.4 0.6