$$Ollah$\text{'}$s Organic Pet Shop sells about bags of$$ free$-$range dog biscuits every year. The fixed ordering cost is $$$$,$ and the cost of holding a bag in inventory for a year is $$$$.$

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Part $2$

a$.$ What is the economic order quantity for the$$ biscuits?

The EOQ is

$$

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

Part $3$

b$.$ Suppose Ollah decides to order bags at a time. What would the total ordering and holding costs for the year$$ be$?($For this$$ problem, don't consider safety stock when calculating holding$$ costs.$)$

The total ordering and holding costs are $$$

$$

enter your response here. $($Enter your response rounded to the nearest dollar.$)$

Part $4$

c$.$ Average weekly demand for$$ free$-$range dog biscuits is bags per$$ week, with a standard deviation of bags. Ollah uses a continuous inventory review system to manage inventory of the biscuits. Ollah wants to set the reorder point high enough that there is only a $\%$ chance of running out before the next order comes in$.$ Assuming that the lead time is a constant $$weeks$,$ what should the reorder point$$ be$?$

The reorder point is

$$

$2$ bags. $($Enter your response rounded to the nearest whole$$ number.$)$

Part $5$

d$.$ Suppose Ollah decides to use a periodic review system to manage the$$ free$-$range dog$$ biscuits, with the vendor checking inventory levels every week. Under this$$ scenario, what would the restocking level$$ be$,$ assuming the same demand and lead time characteristics listed in part c$.$ and the same $\%$ service$$ level? $($Note that because the standard deviation of weekly demand is $,$ basic statistics tells us the standard deviation of demand over weeks will be $.)$

The restocking level is

$$

$3$ bags. $($Enter your response rounded up to the nearest whole$$ n