ne of the SKUs kept at a hospital has the following characteristics. The hospital uses a continuous review system and operates $5252$ weeks per year.

follows$$Demand $($D$)=18$ comma $60018,600$units$/$year

follows$$Ordering cost$($S$)=$$$30\mathrm{.}0030\mathrm{.}00/$order

follows$$Holding cost$($H$)=$$$4\mathrm{.}254\mathrm{.}25/$unit$/$year

follows$$Lead time$($L$)=11$week$($s$)$

follows$$Cycle$-$service level$=9696\%$

follows$$Demand is normally$$ distributed, with a standard deviation of weekly demand of $9393$ units.$$

The$$ z$-$values for different service levels are given$$ below:

$$Cycle$-$service level

$$z$-$value

$88\%$

$1\mathrm{.}175$

$90\%$

$1\mathrm{.}28$

$92\%$

$1\mathrm{.}41$

$95\%$

$1\mathrm{.}65$

$96\%$

$1\mathrm{.}75$

$98\%$

$2\mathrm{.}05$

$99\%$

$2\mathrm{.}33$

a$.$ The$$ item's economic order quantity is enter your response here units. $($Enter your response rounded to the nearest whole$$ number.$)$

b$.$ The average time between orders is enter your response here weeks. $($Enter your response rounded to two decimal$$ places.$)$

c$.$ To provide a $9696$ percent$$ cycle$-$service level, the reorder point for this item is enter your response here units. $($Enter your response rounded to the nearest whole$$ number.$)$

d$.$ For these$$ policies, the annual cost of placing orders$($ordering costs$)$ is $$$enter your response here $($enter your response rounded to two decimal$$ places$).$

e$.$Currently$,$ the$$ on$-$hand inventory is $471471$units$,$ with no scheduled receipts and no backorders. Should the hospital place another order$$ now?

A$.$

No