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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.Required:a. What are the minimum and maximum cycle times? b. What range of daily output is theoretically possible for the line? c. What is the minimum number of workstations needed if the maximum output rate is to be sought?d. What cycle time will provide an output rate of 125 units per day?

Respuesta :

Answer

a)Minumum cycle time = 2.4 Minutes And Maximum cycle time = 18 Minutes

b)=187.5 units per day and 25 units per day

c) 8 workstation

d)2.6min/cycle

Explanation:

Given:

output rate = 125 units per day

Operating time= 450 minutes per day

What are the minimum and maximum cycle times?

Minimum Cycle time = duration of the longest task

Therefore,Minimum cycle time = 2.4 minutes

Maximum cycle time = addition of the task

Maximum Cycle Time = 18 minutes

Therefore, Minumum cycle time = 2.4 Minutes And Maximum cycle time = 18 Minutes

B)B)What range of daily output is theoretically possible for the line?

Range of daily output = Operating time / minimum Cycle time

At 2.4 minutes Cycletime

= 450/2.4

=187.5 units per day

At Cycle time 18 Minutes

= 450/18

Cycle time 18 minutes = 25 units per day

C)What is the minimum number of workstations needed if the maximum output rate is to be sought?

number of workstation=(D× summation of all task)/Operating time

number of workstation=(187.5*18)/450

= 7.5= 8 workstation

D)What cycle time will provide an output rate of 125 units per day?

cycle time= Operating time/output rate

=450/125

= 2.6min/cycle