John's uses a fixed order interval inventory system. Demand per day is 6 units with a standard deviation of 4 units per day. Lead time has been shown to be 8 days. John's believes reviewing the inventory level every 6 days is the ideal policy, and that a service level of 99% is acceptable. If the current inventory position is 68 units, and it is time to place an order, what order quantity should be placed?

Present your answer as an integer value (rounded up). Do not round your intermediate calculations.

Order Quantity

What is the probability that John's will run out of inventory before the next order arrives?

Present your answer as a percentage rounded to two (2) decimal places (e.g., 99.50). Do not include the % sign. Do not round your intermediate calculations.

Stockout Risk