Sam's Pet Hotel operates $52$ weeks per$$ year, $5$ days per$$ week, and uses a continuous review inventory system. It purchases kitty litter for $$$$10\mathrm{.}75$ per bag. The following information is available about these bags. Refer to the standard normal tableLOADING... for$$ z$-$values.

followsDemand $=80$bags$/$week

followsOrder cost$=$$$55/$order

followsAnnual holding cost$=25$ percent of cost

followsDesired $$cycle$-$service levelequals$99$ percent

followsLead time$=1$week$($s$)(5$ working$$ days$)$

followsStandard deviation of weekly demand$=13$ bags

followsCurrent $$on$-$hand inventory is $300$bags$,$ with no open orders or backorders.

Part $2$

a$.$ What is the$$ EOQ?

$$Sam$\text{'}$s optimal order quantity is

$$

$413$ bags. $($Enter your response rounded to the nearest whole$$ number.$)$

Part $3$

What would be the average time between orders$($in weeks$)?$

The average time between orders is

$$

$5\mathrm{.}2$ weeks. $($Enter your response rounded to one decimal$$ place.$)$

Part $4$

b$.$ What should R $$be$?$

The reorder point is

$$

$110$ bags. $($Enter your response rounded to the nearest whole$$ number.$)$

Part $5$

c$.$ An inventory withdrawal of $10$ bags was just made. Is it time to$$ reorder?

It

is not

time to reorder.

Part $6$

d$.$ The store currently uses a lot size of $505$ bags$($i$.$e$.,$ Qequals$505).$ What is the annual holding cost of this$$ policy?

The annual holding cost is $$$

$$

$678\mathrm{.}59.($Enter your response rounded to two decimal$$ places.$)$

Part $7$

What is the annual ordering$$ cost$?$

The annual ordering cost is $$$

$$

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