gainesvile 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% of service level, what is the rop?
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- Gainesville Cigar stocks Cuban cigars that have variablelead times because of the difficulty in importing the product:lead time is norma lly distributed with an average of 6 weeks anda standard deviation of 2 weeks. Demand is also a variable andnormally distributed with a mean of 200 cigars per week and astandard 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 ispreferable?A Mercedes dealer pays $40,000 for each car purchased (wholesale price). The annual holding cost is estimated to be 30% of the dollar value of inventory. The dealer sells an average of 1200 cars per year. They believe that demand is backlogged but estimate that if they are short one car for one year, the loss in future profits is about 10% of the wholesale price. Each time the dealer places an order for cars, ordering costs amount to $1600. Assume there are 360 work days per year. Question: If the Mercedes dealer wants to limit backorders so that they occur 20% of the time, what is the maximum number of backorders that should be allowed (assuming the optimal order quantity doesn't change)?The Corner Drug Store fills prescriptions for a popular children’s antibiotic, amoxicillin. The daily demand for amoxicillin is normally distributed, with a mean of 200 ounces and a standard deviation of 80 ounces. The vendor for the pharmaceutical firm that supplies the drug calls the drugstore pharmacist every 30 days to check the inventory of amoxicillin. During a call, the druggist indicated that the store had 60 ounces of the antibiotic in stock. The lead time to receive an order is 4 days. Determine the order size that will enable the drugstore to maintain a 95% service level.
- Kabel Market store sells electric cable. The demand for cable is normally distributed. The inventory related information at Kabel Market is as follows: Average Annual Demand = 16,900 meters Standard deviation of weekly demand = 28 meters Cable selling price = AMD 640.00 per meter Ordering cost = AMD 1,250.00 per order Lead time = 5 weeks Annual inventory-holding cost estimate = 2.5% of the cable selling price Required service level = 95% Kabel Market works 52 weeks a year. Note: The approximate z values are: for 0.9 ≈ 1.28, for 0.92 ≈ 1.405, for 0.95 ≈ 1.645, for 0.98 ≈ 2.05. Suppose the bar management practices the fixed-QUANTITY ordering system with the use of the economic order quantity. Answer the following questions: (i) How many meters of cable they order from the supplier each time? (ii) When do they place an order? (iii) What is the safety stock?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 8 weeks and a standard deviation of 2 weeks.Demand is also a variable and normally distributed with a mean of 150 cigars per week and a standard deviation of 23 cigars. 95% service level, what is the ROP?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?
- Taylor Supply is a wholesaler of office supplies and equipment. Taylor purchases cartons of staples from Barker Manufacturing. Barker offers a price of $7 per carton of staples. Taylor incurs a fixed charge of $90 per order to cover order equipment and clerical costs. Each order takes 3 days to arrive. Taylor has projected sales to be 603 boxes per day. Taylor's accounting department has determined the holding costs relevant for inventory decisions are 28% of unit cost. Assume Q=3000. If Taylor wants a 90% service level, and the standard deviation in daily demand is 250, what is their average inventory?ESTRELLA is a bike retailer located in the outskirts of Bacolod City. ESTRELLA purchases bikes from STORAGEHUB in orders of 250 bikes which is the current economic order quantity. STORAGEHUB is now offering the following bulk discounts to its customers: Price 0% discount on orders less than 499 P3,500 10% discount on orders above 500 units - 999 3,150 15% discount on orders above 1,000 units 2,975 ESTRELLA is wondering if the EOQ model is still the most economical and whether increasing the order size would actually be more beneficial. Following information is relevant to forming the decision: Annual demand is 5000 units Ordering cost is $100 per order Annual holding cost is 25% QTY SETUP HOLDING PROODUCT COST TOTAL COST Q1 25423.73 25812.5 what is the product cost what is the total cost Q2 3000 198437.5 what is…ESTRELLA is a bike retailer located in the outskirts of Bacolod City. ESTRELLA purchases bikes from STORAGEHUB in orders of 250 bikes which is the current economic order quantity. STORAGEHUB is now offering the following bulk discounts to its customers: Price 0% discount on orders less than 499 P3,500 10% discount on orders above 500 units - 999 3,150 15% discount on orders above 1,000 units 2,975 ESTRELLA is wondering if the EOQ model is still the most economical and whether increasing the order size would actually be more beneficial. Following information is relevant to forming the decision: Annual demand is 5000 units Ordering cost is $100 per order Annual holding cost is 25% How much is the EOQ for each quantity discount? How much should be the EOQ?
- Weekly demand for printers at a store is normally distributed with a mean of 250 and a standard deviation of 96. The store manager continuously monitors inventory and currently orders 14400 printers each time the inventory drops to 1,000printers. The supply lead time is normally distributed with a mean of 2 weeks and a standard deviation of 1.5 weeks. a.How much safety inventory should this store carry if it wants to provide a CSL of 95%? b.How does the required safety inventory change as the standard deviation of lead time is reduced from 1.5 weeks to zero in intervals of 0.5 weeks? c.What fill rate does the store achieve?Weekly demand for Lego at a Wal-Mart store is normally distributed with a mean of 2,500 boxes and a standard deviation of 500. Demand is assumed to be stationary and the mean demand is used as forecast. Each order costs Wal-Mart $145 and holding cost per box per year is estimated at $1.5. Lead time is 2 weeks and the store manager has decided to review inventory every 4 weeks. (Assume a periodic review policy) a. What is safety stock requirement for a service level of 90%? b. What is the order-up-to level? c. What is the total annual variable cost?A health and nutrition store stocks a multivitamin with an annual demand of 1,000 bottles has Co = $26.50 and Ch = $7. The demand exhibits some variability such that the lead-time demand follows a normal probability distribution with ? = 25 and ? = 5. (a) What is the recommended order quantity? (Round your answer to the nearest integer.):________ (b) What are the reorder point and safety stock if the store desires at most a 6% probability of stock-out on any given order cycle? (Round your answers to the nearest integer.) reorder point:________ safety stock:________ (c) If a manager sets the reorder point at 30, what is the probability of a stock-out on any given order cycle? (Round your answer to four decimal places.):________ How many times would you expect a stock-out during the year if this reorder point were used? (Round your answer to the nearest integer.):________