Regional Supermarket is open $355$ days per year. Daily use of cash register tape averages $16$ rolls. Usage appears normally distributed with a standard deviation of $4$ rolls per day. The cost of ordering tape is $$\mathrm{.}75,$ and carrying costs are $37$ cents per roll a year. Lead time is $3$ days.

Use Table$1$ and Table$2.$

a$.$ What is the EOQ? $($Round your answer to the nearest whole number.$)$

b$.$ What ROP will provide a lead time service level of $87\mathrm{.}7$ percent? $($Round up your answer to the nearest whole number.$)$