48. The distribution oflead time in respect of a certain component is given in the following table:

The management of the company wishes to set safety stock level that would ensure that the risk of being out of stock for reason of delayed delivery should be no more than 10%. Assuming that the demand is known and uniform at 200 units per week, calculate the amount of safety stock which should be provided so as to meet the desired service level.

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Lead time (weeks) 0-1 1-2 2-3 Frequency 4 8 20 3-4 24 4-5 5-6 16 4 6-7 4