SOLVED

46) A firm is planning to set up an assembly line to assemble 40 units per hour, and 57 minutes per hour are productive. The time to perform each task and the tasks that precede each task are contained in the following table. Task Preceding Task Time to perform (min.) A — .69 B A .55 C B .92 D B .59 E B .70 F B 1.10 G C, D, E .75 H G, F .43 I H .29 (a)Draw a network diagram of precedence relationships. (b)Compute the required cycle time per unit in minutes. (c)Compute the theoretical minimum number of workstations required to produce 40 units per hour. (d)Balance this line using the longest processing time heuristic. (e)What is the efficiency of the line obtained in part d? 47) An assembly line with 11 tasks is to be balanced. The longest task is 2.4 minutes, the shortest task is 0.4 minutes, and the sum of the task times is 18 minutes. The line will operate for 600 minutes per day. (a)Determine the minimum and maximum cycle times. (b)What range of output is theoretically possible for the line? (c)What is the minimum number of stations needed if the maximum output rate is to be sought? (d)What cycle time will provide an output rate of 200 units per day?