Sam's Pet Hotel operates

$5$

$2$

$$weeks per

$$

$$year$,$

$7$

$$days per

$$

$$week$,$ and uses a continuous review inventory system. It purchases kitty litter for

$$

$

$1$

$2$

$.$

$0$

$0$

$$per bag. The following information is available about these bags. Refer to the standard normal table for

$$

$$z

$-$

values.

Demand

$$

$=$

$8$

$5$

$$

bags

$/$

week

Order cost

$$

$=$

$$

$

$5$

$8$

$$

$/$

order

Annual holding cost

$$

$=$

$3$

$0$

$$percent of cost

Desired

$$

cycle

$-$

service levelequals

$9$

$9$

$$percent

Lead time

$$

$=$

$2$

$$

week

$($

s

$)$

$$

$($

$1$

$4$

$$working

$$

$$days

$)$

Standard deviation of weekly demand

$$

$=$

$1$

$8$

$$bags

Current

$$

on

$-$

hand inventory is

$3$

$0$

$0$

$$

bags

$,$

$$with no open orders or backorders.

a

$.$

$$What is the

$$

$$EOQ$?$

$$

Sam

$\text{'}$

s optimal order quantity is

$3$

$7$

$8$

$$bags$.$

What would be the average time between orders

$$

$($

in weeks

$)$

$?$

The average time between orders is

$4$

$.$

$5$

$$weeks$.$

b

$.$

$$What should R

$$

be

$?$

The reorder point is

$\_$

$\_$

$\_$

$\_$

$\_$

$$bags$.$

$$

$($

Enter your response rounded to the nearest whole

$$

$$number$.$

$)$