Answer:
85 %
Explanation:
Given
The average processing time per unit =30 seconds
Working hour = 8 hrs
Number of items in a container = 240 items
Demand = 1600 units
Time is taken for one container = 5 hrs.
Number of containers being processed = 8
Obtaining the Percentage safety margin of stock
The total items in the containers would be = 240 x 8 =1920 items
No. of items in a container x No of container being processed
= 240 x 8 =1920 items
Since the average wait time would be 5 hrs before processing the first kanban time will account for the five hour wait.
Time taken for first kanban
= 5 hrs. + [(240 x 30)/3600] = 7 hrs.
Time used to process the remaining kanban would be
= (240 x 30) /3600 = 2 hrs
Since the shift is eight hours the time remaining for the second kanban
= 8 hrs -7 hrs = 1 hr
This means that the number of kanbans that would be processed daily per work shift is 1 since the second one cannot be completed.
Therefore the total items produced would be
= 240 x 1 =240 items
Margin of safety stock carried
[tex]\frac{1600-240}{1600}[/tex] x 100 = 85 %
Therefore the percentage safety margin of stock being carried is 85 %
