Answer:
Daily demand for parts = 1600 units
Avg processing time = 25 seconds.
Capacity of a container = 250 units
Waiting time of a container before the JMB = 6 hours
Number of containters currently deployed = 10
Solution:
Total number of parts carried by the containter = 10 x 250 = 2500 parts.
Total numbers carried in excess as safety stock = 2500-1600 = 900
Percentage of safety stock = (900/1600) x 100 = 56.25%
If one container is removed total parts carried = 2250 units
Processing time at machine for 250 parts after loading in JMB = 250 x 25 seconds = 1.736 hours, but it has to wait for another 4.26 hours for the next container to be loaded because of the waiting time of the containter is 6 hours.
Processing time at machine for 1600 parts = 1600 x 25 seconds = 11.11 hours
Number of containers required for 1600 parts = 1600/250= 6.4 ~ 7 containters
Waiting time of 7 containers = 7 x 4.26 = 29.82 hours.
If one of the containers has to be removed 1600 parts has to be carried in 6 containers ie., 29.82hours - 6 hours = 23.82hours
Waiting time per container before loading = 23.82/6 = 3.97 hours.
Reduced Total waiting time of the container = 3.97 hours + the processing time of 250 parts = 3.97 + 1.736 =5.7hours ~ 5 hours and 42 minutes