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 Maximum cycle time minutes 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.) ange of output tounits/day c. What is the minimum number of workstations needed if the maximum output rate is to be sought? (Round up your answer to the 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 min/cycle e. What output potential will result if the cycle time is (1) 9 minutes? (2) 15 minutes? Cycle Time otential output units units

Explanation / Answer

Maximum cycle time = 18 minutes

Daily output at cycle time of 18 minutes = 450/18 =   25 units

Daily output at cycle time of 2.4 minutes = 450/2.4 = 187.5 units

Range of output : 25 units to 187.5 units

= 18 minutes/ 2.4 minutes

= 7.5 ( 8 rounded to next higher whole number )

= 450/125

= 3.6 minutes

Cycle time = 3.6 minutes/ cycle

Output potential at cycle time of 15 minutes = 450/15 = 30 units/ day

Cycle time

Potential output

(1 )

50 units

( 2 )

30 units

Range of output : 25 units to 187.5 units

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