(a) The optimal sequence is F-D-B-A-C-E.
(b) Supporting work appears in the table below.
FR OS Order Done 1 Done 2 (flow time) A 50.30. fourth 115.155.B35.55. third 65.125.C25.20. fifth 140.175.D20.35. second 30.70.E15.10. sixth 155.185. F 10.25. first 10.35. Makespan 185.\begin{array}{|r|r|r|r|r|r|}\hline & \text { FR } & \text { OS } & \text { Order } & \text { Done 1 } & \begin{array}{r}\text { Done 2 } \\\text { (flow time) }\end{array} \\\hline \text { A } & 50 . & 30 . & \text { fourth } & 115 . & 155 . \\\hline \mathbf{B} & 35 . & 55 . & \text { third } & 65 . & 125 . \\\hline \mathrm{C} & 25 . & 20 . & \text { fifth } & 140 . & 175 . \\\hline \mathrm{D} & 20 . & 35 . & \text { second } & 30 . & 70 . \\\hline \mathrm{E} & 15 . & 10 . & \text { sixth } & 155 . & 185 . \\\hline \text { F } & 10 . & 25 . & \text { first } & 10 . & 35 . \\\hline \text { Makespan } & & && & 185 . \\\hline\end{array} A BCDE F Makespan FR 50.35.25.20.15.10. OS 30.55.20.35.10.25. Order fourth third fifth second sixth first Done 1 115.65.140.30.155.10. Done 2 (flow time) 155.125.175.70.185.35.185. Sequence: F, D, B, A, C, E \text { Sequence: F, D, B, A, C, E } Sequence: F, D, B, A, C, E (c) The schedule appears in the chart below. (d) Job A is being processed at FR (Machine 1), while Job B is being processed at OS (e) Total flow time for the schedule is 185.
(Machine 2)