An assembly line with 17 tasks is to be balanced. The longest task is 2.4 minute

Question

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? (Round your answers to 1 decimal place.) Minimum cycle time minutes Maximum cycle time minutes b. What range of daily output is theoretically possible for the line? (Round your answers to 1 decimal place. Enter the smaller value in the first box and the larger value in the second box.) Range of output c. What is the minimum number of workstations needed if the maximum output rate is to be sought? (Round up your answer to the to next whole number.) Minimum number of workstations d. What cycle time will provide an output rate of 125 units per day? (Round your answer to 1 decimal place.) Cycle time e. What output potential will result if the cycle time is (1) 9 minutes? (2) 15 minutes? min/cycle Cycle Time Potential Output unitS units

Explanation / Answer

A Longest task 2.4 = Min cycle time 2.4 Ans Total time 18.0 = Max cycle time 18.0 Ans B Output Min = 25.0 (450/18) from 25.0 Ans Output Max = 187.5 (450/2.4) to 187.5 Ans C For max output TCT 18.0 Cycle time 2.4 Min workstation 7.5 (TCT/Cycle time) (Rounded up) 8 Ans D Output sought 125 Time available 450 Cycle time 3.6 (450/125) 3.6 Ans E Time available 450 Cycle time 9 Output 50 (450/9) 50 Ans 1 Time available 450 Cycle time 15 Output 30 (450/15) 30 Ans 2

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