An assembly line with 17 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 450 minutes per day. a. what are the minimum and maximum cycle times? b. what range of output is theoretically possible for the line? c. what is the minimum number of work stations needed if the maximum output rate is to be sought? d. what cycle time will provide an output rate of 125 units per day? e. what output potential will result if the cycle time is (1) 9 minutes? (2) 15 minutes?