A store in St$.$ John's is open $350$ days per year. Daily use of cash register tape is random and the average usage per day is $5$ rolls. Usage appears normally distributed with a standard deviation of $4$ rolls per day. The fixed cost of ordering tape is $$5$ per order and carrying costs are $$2$ per roll a year. The Lead time duration for each order is a constant and it is $6$ days.

What is the EOQ quantity for each order?

Question $11$ options:

$85\mathrm{.}04$ rolls

$85$ rolls

$93\mathrm{.}54$ rolls

$94$ rolls

Question $12(4$ points$)$

Saved

Refer to the information in Q$11.$

What ROP will provide a fill rate of $98\%?$

Question $12$ options:

$35$ rolls

$35\mathrm{.}096$ rolls

$32$ rolls

$32\mathrm{.}08$ rolls

Question $13(3$ points$)$

Saved

Refer to the information in Q$11.$

What ROP will provide a lead time service level of $96\%?$

Question $13$ options:

$47\mathrm{.}25$ rolls

$47$ rolls

$37$ rolls

$37\mathrm{.}04$ rolls

Question $14(3$ points$)$

Refer to the information in Q$11.$

What is the expected number of units short per cycle with a $96\%$ lead time service level?

Question $14$ options:

$0\mathrm{.}064$ rolls

$0\mathrm{.}1568$ rolls

$0\mathrm{.}089$ rolls

$0\mathrm{.}2569$ rolls

$47\mathrm{.}25$ rolls

$47$ rolls

$37$ rolls

$37\mathrm{.}04$ rolls