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Problem 6-18 For the set of tasks given below, do the following Task Time (secon

ID: 346830 • Letter: P

Question

Problem 6-18 For the set of tasks given below, do the following Task Time (seconds) 45 Immediate Predecessor Task 50 26 12 10 F, G, H 10 193 Assign tasks to stations for a desired output of 500 units in a 7-hour day to balance the line using the longest operation time heuristic. Break ties with the most following tasks heuristic. Calculate the percentage idle time for the line. Use the actual bottleneck cycle time in your calculation. (Round your percentage of idle time to 2 decimal places. Omit the "%" sign in your response.) Work Station Task (Click to select) (Click to select) (Click to select) Click to select v Percentage of idle time %

Explanation / Answer

Cycle time = Total time available / no of units need to be produced

= 7x60x60 / 500 = 50.4 sec.

Task time = 193 sec

No of workstations needed = 193/50.4 =4

Allocation according to the longest operations time

WS1 - D

WS2 - A

WS3 - E,G,B

WS4 - F.H,J C,I

Idle time = task time / no. of workstations x cycle time

= 193 / 4x50.4 = 95.73%