1. In a batch machining operation, setup time is 1.25 hours and batch size is 90 units. The cycle time consists of part handling time of 45 sec and processing time of 1.5 min. One part is produced each cycle. Tool changes must be performed every 12 parts and this takes 2.5 min. Determine (a) average cycle time, (b) time to complete the batch, and (c) average production rate.

2. A job shop has four machines and operates 40 hours per week. During the most recent week, machine 1 processed part A for 24 hours at a production rate of 12 parts per hour, and part B for 10 hours at a rate of 8 parts per hour. Machine 2 processed part C for 38 hours at a rate of 13 parts per hour, and was idle 3 hours. Machine 3 processed part D for 14 hours at a rate of 21 parts per hour, and part E for 26 hours at a rate of 14 parts per hour. Machine 4 processed part F for 11 hours at a rate of 10 parts per hour, part G for 15 hours at a rate of 17 parts per hour, and was idle the rest of the week. Determine (a) weekly production output of the shop and (b) average utilization of equipment.