Question

Wild Widget must set up an assembly line for widgets. Forecasts show that 68 units per hour should be produced. The tasks required, task times, and precedence relationships are as follows: TTT Task A B Time (seconds) 10 21 20 Predecessors A A 28 E 12 D 10 D G 40 E,F b. What is the takt time? (Round your answer to the nearest whole number.) Takt time seconds per unit c. What is the theoretical number of workstations? (Round up your answer to the next whole number.) Number of workstations

Answer 1

ANSWER

b.

Takt time = Available time / desired demand rate = 3600 seconds per hour / 68 units per hour = 53 seconds

c.

Total task time = 10+21+20+28+12+10+40 = 141 seconds

Theoretical need number of stations = Total task time / takt time = 141 /53 = 2.66 ~ 3

d.

Assignment of tasks as per longest operating time rule

Workstations	Tasks in order	Workstation time (seconds)	Idle time (seconds)
1	A, B, C	10+21+20 = 51	51-51=0
2	D, E, F	28+12+10 = 50	51-60=1
3	G	40	51-40=11

e.

Cycle time of the balanced line = 51 seconds

Lead time = cycle time * number of workstations = 51*3 = 153 seconds

Efficiency of the balanced line = Total task time / Lead time = 141 /153 = 0.921 or 92.1 %

f.

New takt time = 3600/58 = 62 seconds

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