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begin{tabular}{cc} hline z value & Associated service level hline 0.84 & 80% 1.28 & 90% 1.65 & 95% 2.33 & 99%

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\begin{tabular}{cc} \hline z value & Associated service level \\ \hline 0.84 & 80% \\ 1.28 & 90% \\ 1.65 & 95% \\ 2.33 & 99% \\ 3.08 & 99.9% \\ \hline \end{tabular} Ollah's Organic Pet Shop sells about 2,500 bags of free-range dog biscuits every year. The fixed ordering cost is $18, and the cost of holding a bag in inventory for a year is $0.75. Click the icon to view the table of z values. a. What is the economic order quantity for the biscuits? The EOQ is (Enter your response rounded to the nearest whole number.) b. Suppose Ollah decides to order 120 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 rounded to the nearest dollar.) c. Average weekly demand for free-range dog biscuits is 85 bags per week, with a standard deviation of 6 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 0.1% chance of running out before the next order comes in. Assuming that the lead time is a constant 2 weeks, what should the reorder point be? The reorder point is bags. (Enter your response rounded to the nearest whole number.) 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 99.9% service level? (Note that because the standard deviation of weekly demand is 6 , basic statistics tells us the standard deviation of demand over 3 weeks will be 10.) The restocking level is bags. (Enter your response rounded up to the nearest whole number.)

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