Sam's Cat Hotel operates $52$ weeks per year, $6$ days per week, and uses a continuous review inventory system. It purchases kitty litter for $$11\mathrm{.}70$ per bag. The following information is available about these bags.

Demand $=90$ bags$/$week

Standard deviation of weekly demand $=15$ bags

Order cost $=$ $$54$ per order

Annual Holding cost $=27\%$ of cost

Desired cycle$-$service level $=80\%$

Lead time $=3$ weeks

$($Note : Exclude costs due to Safety Stock for all the questions in this problem$)$

Flag question: Question $1$

Question $11$ pts

What is the EOQ?

Group of answer choices

$250$

$490$

$450$

$400$

$350$

Flag question: Question $2$

Question $21$ pts

What is the time between orders in weeks?

Group of answer choices

$4\mathrm{.}44$

$5\mathrm{.}94$

$2\mathrm{.}22$

$1\mathrm{.}90$

$1\mathrm{.}20$

Flag question: Question $3$

Question $31$ pts

What is the z$-$score for the desired cycle$-$service level of $80\%?$

Group of answer choices

$0\mathrm{.}84$

$2\mathrm{.}32$

$0\mathrm{.}22$

$0\mathrm{.}48$

$1\mathrm{.}96$

Flag question: Question $4$

Question $41$ pts

What is the Reorder Point?

Group of answer choices

$292$

$282$

$320$

$250$

$302$