PLEASE ANSWER WITH COMPLETE SOLUTION

1. An assembly line with 1? tasks is to be balanced. The longest task is 2.4 minutes. and the total time for all tasks is 18 minutes. The line will operate for 45D minutes per day. a. IWhat are the minimum and maximum wcle times? b. What range of output is theoretically possible for the line? c. IWhat is the minimum number of workstations needed if the maximum output rate is to he sought? d. what cycle time will provide an output rate of 125 units per day? e. 1What output potential will result if the cycle time is {1} 9 minutes? {2} 15 minutes? 2. Refer to the diagram below. A manager wants to assign tasks to workstations as efcieme as possible and achieve an hourtilr output of 33 units. Assume the shop works a {SD-minute hour. Assign the tasks shown in the aooompa nying precedence diagram [times are in minutes} to workstations using the following rules: a. In order of most following tasks. Tiebreaker: greatest positional weight. b. In order of greatest positional weight. Tiebreaker: most following tasks. c. IWhat is the efciency? 4. A producer of inkjet printers is planning to add a new line of printers. and you have been asked to balance the procESs. given the following task times and precedence relationships. Assume that cycle time is to he the minimum possible. length II'II'I'IMIIII Task {rnlnullest [Predecemrj a D2 - h DA 3 c 0.3 - d 1.3 b, c o 111 f 113 e u 113 d.f h 1.2 ii a. Do each of the following: [11 Draw the precedence diagram. {4 pts.) [21 Assign tasks to stations in order of most following tasks. Tiebrea ker: greatest positional weight. [3} Determine the percentage of idle time. [4} Compute the rate of output in printers per day that could he expected for this line assuming a 42D- minute working day. I). Answer these questio ns: [11 what is the shortest cycle time that will permit use of onlyr two workstations? Is this cycle time feasible? Identify the tasks you would assign to each station. [2} Determine the percentage of idle time that would result if two stations were used. [31 what is the daily output under this arrangement? [4] Determine the output rate that would be associated with the maximum circle time