7. A small manufacturer of circuit boards must process several jobs through their facility. Three machines with different capabilities are available (Machines A, B and C). Jobs are not interchangeable between machines. Each job is a batch. The allocation of jobs to machines is given below. All times are in seconds. Your manager has asked that the jobs be completed by a 4-hour deadline, but if not, they must be completed such that the average lateness is minimized. a. Sequence the jobs to meet your manager's expectations. Justify your method. b. Each machine requires a full-time operator. For the proposed schedule in part "a." above, the factory operates three, 8-hour shifts per day, seven days per week. Employees are allowed a minimum of two weekends off in every five weeks, work no more than one shift per day, and must have two days-off in every seven days. Calculate the minimum workforce required for this factory. Machine times Job number Batch size Machine A Machine B Machine C B2401 72 3200 B7902 126 4400 B6103 45 6000 B1104 110 3800 B9405 240 3800 B4006 32 4300 B1807 32 4300 B6208 32 4300 B9909 192 1800 B1910 64 1200 B3311 64 1200 B8212 32 2900 B4813 64 1000 B7214 64 1000 Total time: 11400 26200 5600