10. SolarEdge Components, a supplier for smart solar panel systems, needs to schedule five assembly jobs-J1 through J5-that each require processing through two machines in sequence. The first machine performs laser cutting, and the second machine handles precision welding. To minimize total completion time and reduce idle hours on the welding machine, the production manager has decided to apply Johnson's Rule. The processing times (in minutes) for each job are as follows: i. J1: 14 minutes on laser cutting, 11 minutes on welding ii. J2: 9 minutes on laser cutting, 18 minutes on welding iii. J3: 21 minutes on laser cutting, 10 minutes on welding iv. J4: 13 minutes on laser cutting, 15 minutes on welding v. J5: 7 minutes on laser cutting, 20 minutes on welding Determine the optimal job sequence using Johnson's Rule, and calculate the total makespan and total idle time on the welding machine.
