Your firm uses a continuous review system and operates $52$ weeks per year. One of the SKUs has the following characteristics.

followsDemand $($D$)=19$ comma $000$units$/$year

followsOrdering cost$($S$)=$$$55\mathrm{.}00/$order

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

followsLead time$($L$)=4$week$($s$)$

follows$$Cycle$-$service level$=92\%$

followsDemand is normally$$ distributed, with a standard deviation of weekly demand of $95$ units.$$

followsCurrent $$on$-$hand inventory is $1$ comma $040$units$,$ with no scheduled receipts and no backorders.

The$$ item's economic order quantity is

$$

enter your response here units. $($Enter your response rounded to the nearest whole$$ number.$)$

The average time between orders is

$$

enter your response here weeks. $($Enter your response rounded to two decimal$$ places.$)$

To provide a $92$ percent$$ cycle$-$service level, the safety stock for this item is

$$

enter your response here units. $($Enter your response rounded to the nearest whole$$ number.$)$

To provide a $92$ 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.$)$

For these$$ policies, the annual cost of holding the cycle inventory is $$$

$$

enter your response here $($enter your response rounded to two decimal$$ places$)$ and annual cost of placing orders is $$$

$$

enter your response here $($enter your response rounded to two decimal $$places$).$