Gainesville Cigar stocks Cuban cigars that have variable lead times because of the difficulty in importing the$$ product: Lead time is normally distributed with an average of $5$ weeks a nd a standard deviation of $2$ weeks. Demand is also a variable and normally distributed with a mean of $250$ cigars per week and a standard deviation of $27$ cigars. Refer to the standard normal table in the image for$$ z$-$alues.

This exercise contains only parts a and b$.$

$$a$)$ For a $90\%$ service$$ level, what is the$$ ROP? The reorder point is $\_\_\_$ cigards $($round your response to the nearest whole$$ number$)$

$$b$)$ What is the ROP for a $95\%$ service$$ level? The reorder point is $\_\_\_$ cigars $($round your response to the nearest whole$$ number$).$