Question

1. An assembly line has been designed to make battery-powered beverage mixers. Task details are shown in the table below:

Station	Task Assigned	Task Time (minutes)
1	1	3.0
2	3; 4	1.5; 2.0
3	2; 5; 6	1.5; 1.5; 2.0
4	7	3.0
5	8	2.5
6	9; 10; 11	2.0; 1.0; 1.0

(a) What is the assigned cycle time (in minutes)?

(b) What is the maximum output rate of this line in mixers per hour?

(c) What is the total idle time per cycle?

(d) What is the assembly line's efficiency?

Answer 1

(a) What is the assigned cycle time (in minutes)?

Assigned cycle time =min. cycle time = length of longest time taken by a task/station Cycle time is 5.0 minutes (1.5+ 1.5+ 2 = governed by stations 3)

(b) What is the maximum output rate of this line in mixers per hour?

Max output rate = operation time / Min, cycle time

Since the rate is asked per hour = so Operation time = 60

so max output rate = 60/5 = 12 Units

(c) What is the total idle time per cycle?

Idle time = Min. cycle time - total time at each station

(5-3) + (5 - [1.5+2] ) +(5 -[1.5+1.5+2]) +(5 - 3) +(5-2.5) + (5 - [2+1+1])

= 2 +1.5 +0 + 2 +2.5+1 = 9 Mins

(d) What is the assembly line's efficiency?

total time / total hours in a day

total time worked =3 + 1.5 +2 + 1.5 + 1.5 + 2+3 +2.5 +2+1+1 = 21

=21/24 = 0.875 or 87.5%

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