a) For a 90% service level, what is the ROP? The reorder point is cigars (round your response to the nearest whole number).
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- Gainesville Cigar stocks Cuban cigars that have variable lead times because of the difficulty in importing the product: Lead time is normally distributed with an average of 4 weeks and a standard deviation of 2 weeks. Demand is also a variable and normally distributed with a mean of 225 cigars per week and a standard deviation of 25 cigars. Refer to the standard normal table for z-values. This exercise contains only parts a and b. a) For a 95% service level, what is the ROP? The reorder point is 1645 cigars (round your response to the nearest whole number). b) What is the ROP for a 96% service level? The reorder point is cigars (round your response to the nearest whole number).Harvey Gold, orders an unusual olive from the island of Santorini, off the Greek coast. Over the years he has noticed considerable variability in the time it takes to receive orders of these olives. He can place a replenishment order at any time. On average the order lead time is 4 months and the standard deviation is 6 weeks (1.5 months). The monthly demand for olives is normally distributed with a mean of 15 jars and a standard deviation of 6. The fixed ordering cost =$500, the cost of a jar to Harvey is $10 a jar, and the annual inventory holding cost is 18% of the product's cost ($10 per jar). Assume 4 weeks each month and 90% service level. Find the reorder point s, amount of safety stock, order-up-to level S, average inventory level, and the annual inventory-related cost. Table of Z-values for normal distribution: Service level Z-value 90% 1.29 91% 92% 93% 94% | 95% 96% 97% 98% 99% 1.65 1.34 1.41 1.48 1.56 1.75 1.88 2.05 2.33The Fast Service Food Mart stocks frozen pizzas in a refrigerated display case. The average daily demand for the pizzas is normally distributed, with a mean of 8 pizzas and a standard deviation of 2.5 pizzas. A vendor for a packaged food distributor checks the market’s inventory of frozen foods every 10 days, and during a particular visit, there were no pizzas in stock. The lead time to receive an order is 3 days. Determine the order size for this order period that will result in a 99% service level. During the vendor’s following visit, there were 5 frozen pizzas in stock. What is the order size for the next order period?
- Gainesville Cigar stocks Cuban cigars that have variable lead times because of the difficulty in importing the product: lead time is normally distributed with an average of 6 weeks and a standard deviation of 2 weeks. Demand is also a variable and normally distributed with a mean of 200 cigars per week and a standard deviation of 25 cigars.a) For a 90% service level, what is the ROP?b) What is the ROP for a 95% service level?c) Explain what these two service levels mean. Which is preferable?Bakery A sells bread for $2 per loaf that costs $0.50 per loaf to make. Bakery A gives an 80% discount for its bread at the end of the day. Demand for the bread is normally distributed with a mean of 300 and a standard deviation of 30. What order quantity maximizes expected profit for Bakery A? (use the normal distribution table posted on Canvas and round up to the nearest integer)Alina Limited is a manufacturer of widgets orders components for use in manufacturing. The estimated demand for the components during the coming year is 15,000. Order costs are $100 per order; carrying costs are $12 per component. Using the economic order quantity model What is Alina Ltd’s optimum order quantity? If the supplier guarantees a three (3) day delivery on any order that is placed, What is the re-order point?
- You are running the supply chain for a grocery store operating across Upstate Souun Carolina. You operate a central warehouse and have multiple stores. For each of the following situations determine if it would be best to operate inventory for the product that is pooled at your central warehouse or determined individually by each retail store. Provide at least 1 sentence discussing your choice. (a) The demand for boxes of Nutty Bars at each store during a week is i.i.d. with mean u = 1000 and standard deviation o = Nutty Bars are high compared to holding costs for Nutty Bars. 10. Transshipment costs between the stores for (b) The demand for Fudge Rounds at each store during a week is i.i.d. with mean u = 200 75. Transhipment costs between the stores for Fudge and standard deviation o Rounds are relatively small compared to holding costs.Nationwide Auto Parts uses a periodic review inventory control system for one of its stock items. The review interval is 6 weeks, and the lead time for receiving the materials ordered from its wholesaler is 3 weeks. Weekly demand is normally distributed, with a mean of 100 units and a standard deviation of 20 units.a. What is the average and the standard deviation of demand during the protection interval?b. What should be the target inventory level if the firm desires 97.5 percent stockout protection?c. If 350 units were in stock at the time of a periodic review, how many units should be ordered?Daily demand for fresh cauliflower in the ZZ-Warehouse store follows normal distribution with mean 100 cartons and s.d. 20 cartons. The ZZ-Warehouse buys at a cost of $50.00 per carton, sells it for $70.00 per carton. Unsold cartons are sold for $20.00 per carton. Cost of shortage = 70-50 = 20; cost of excess = 50-20 = 30; Ratio using (20.1), the service level = (20/(20+30))= 0.4 What is the optimal order quantity, using the single period – continuous demand model? a. 105 b. 95 c. 110 d. 100 e. 80
- 3. Daily demand for tablets of amazon is normally distributed, with a mean of 100 and standard deviation of 30. The tablet supplier takes an average of 15 days to replenish inventory at Amazon. The standard deviation of the supplier lead time is 5 days. Amazon follows a "periodic review policy" with a review period of 30 days. Amazon is targeting a CSL of 98% for its tablet inventory. (a) What is the mean demand during lead time and review period? What is the standard deviation of demand during lead time and review period? (c) What is the safety (b) stock (in units) during lead time and review period?H & K Electronic Warehouse sells a 12-pack of AAA batteries, and this is a very popular item. Demand for this is normally distributed, with an average of 50 packs per day and a standard deviation of 16. The average delivery time is 5 days, with a standard deviation of 2 days. Delivery time has been found to be normally distributed. A 96% service level is desired. What is the standard deviation of demand during the lead time? How much safety stock should be carried, and what should be the reorder pointProblem 20-10 (Algo) You are a newsvendor selling San Pedro Times every morning. Before you get to work, you go to the printer and buy the day's paper for $0.30 a copy. You sell a copy of San Pedro Times for $1.10. Daily demand is distributed normally with mean = 265 and standard deviation = 53. At the end of each morning, any leftover copies are worthless and they go to a recycle bin. a. How many copies of San Pedro Times should you buy each morning? (Use Excel's NORMSINV() function to find the correct critical value for the given a-level. Round your z-value to 2 decimal places and final answer to to 2 decimal places.) Optimal order quantity b. Based on a, what is the probability that you will run out of stock? (Round your answer to the nearest whole number.) Probability