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Suppose that an auto part in a manufacturer's inventory has the following characteristicsForecast Demand= 1250 cases per weekForecast error, std.dev.= 475 cases per weekLead Time= 2.5 weeksCarrrying costs= 30% per yearPurchase prics, delivered =$56 per caseStockout cost= $10 per caseProbability of being in stock during the Lead time, P = 80%
a. Design a reorder point control system for this part, given the assigned P. How would you state the inventory control policy f the ROP>Q*?b. Design a periodic review system for this part. Now assume that the probability of being in stock extends to the order interval plus lead time.c. Determine and compare the relevant cost odf each approachd. What service level (Fill rate) do you achieve with both designs?
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