A tire store orders its stock for a popular winter tire once every year. The cost of a tire for the store is $120. The store sells a tire for $140 at the regular price. The regular demand per year is 1,000 tires, which is normally distributed with a standard deviation of 70 tires. Customers do not prefer to buy from an older stock; hence the store does not keep the tires for the next year. The store is able to sell the excess stock at a reduced price of $80 per tire. How many tires the store should order each year?
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A tire store orders its stock for a popular winter tire once every year. The cost of a tire for the store is $120. The store sells a tire for $140 at the regular price. The regular demand per year is 1,000 tires, which is
How many tires the store should order each year?
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- 6-23 Barbara Bright is the purchasing agent for West Valve Company. West Valve sells industrial valves and fluid control devices. One of the most popular valves is the Western, which has an annual demand of 4,000 units. The cost of each valve is $90, and the inventory carrying cost is estimated to be 10% of the cost of each valve. Barbara has made a study of the costs involved in placing an order for any of the valves that West Valve stocks, and she has concluded that the average ordering cost is $25 per order. Furthermore, it takes about two weeks for an order to arrive from the supplier, and during this time, the demand per week for West valves is approximately 80. d. What is the average inventory? What is the annual holding cost? e. How many orders per year would be placed? What is the annual ordering cost?6-23 Barbara Bright is the purchasing agent for West Valve Company. West Valve sells industrial valves and fluid control devices. One of the most popular valves is the Western, which has an annual demand of 4,000 units. The cost of each valve is $90, and the inventory carrying cost is estimated to be 10% of the cost of each valve. Barbara has made a study of the costs involved in placing an order for any of the valves that West Valve stocks, and she has concluded that the average ordering cost is $25 per order. Furthermore, it takes about two weeks for an order to arrive from the supplier, and during this time, the demand per week for West valves is approximately 80. a. What is the EOQ? b. What is the ROP? c. Is the ROP greater than the EOQ? If so, how is this situation handled? d. What is the average inventory? What is the annual holding cost? e. How many orders per year would be placed? What is the annual ordering cost?John buys goat milk at a cost of $5 per gallon from a local dairy and sells it for $8 per gallon in its store. The dairy will buy back any milk that is unsold at the end of the day for $2 per gallon. Each day John must determine how many gallons to order. Past sales have ranged between 15 and 18 gallons per day, according to the following demand pattern.Demand:15161718Number of days demand occurred:2486Assume that demand will be within this range in future.(a) What are the possible actions and states?(b) Determine the daily profit (rewards) and show on a reward table.(c) Using each of the following criteria, determine John’s best action.- Maximin- Maximax- Expected value(d) Construct the regret (opportunity cost) matrix and using minimax regret criteria determine John’s best action.
- Chris usually sells 120 copies of newspaper each day and believe that sale are normally distributed, with a standard deviation of 15 papers. He pays 70 cents for each paper, which sells $1.25. For each unsold paper, he receives 30-cent credit. a) determine how many papers he should order each day b) calculate the stockout risk for that quantity.12. A restaurant uses an average of 8 jars of a special sauce every day. When they place an order, the jars arrive to the restaurant in a day (lead time is 1 day). Daily usage of sauce has a standard deviation of 3 jars. They think their demand during the lead time can be modelled with normal distribution. The manager is willing to accept no more than a 10 percent risk of stockout during lead time. Calculate at which level of inventory a new order needs to be placed (i.e. calculate the reorder-point(ROP)).Jantel Mitchell's bakery prepares all its cakes between 4 A.M.and 6 A.M.so they will be fresh when customers arrive. Day-old cakes are virtually always sold, but at a 50% discount off the regular $16 price. The cost of baking a cake is $10, and demand is estimated to be normally distributed, with a mean of 25 and a standard deviation of 7. What is the optimal stocking level? Refer to the standard normal table for z-values. The optimal stocking level for the bakery is cakes (round your response to the nearest whole number).
- Martina is in charge of ordering brake pads for an auto shop. The daily demand for brake pads is normally distributed with an average of 40 brake pads and a standard deviation of 8 break pads. Currently, it takes 4 days between when Martina places an order for new brake pads and when the order is received. Currently, Martina orders new break pads when there are 184 break pads left in stock. 1) What is the average demand during lead time? 2) What is the standard deviation of demand during lead time? 3)What is the service level provided by Martina's auto shop?The Impanema Restaurant stocks a red Brazilian table wine it purchases from a wine merchant in a nearby city. The daily demand for the wine at the restaurant is normally distributed, with a mean of 18 bottles and a standard deviation of 4 bottles. The wine merchant sends a representative to check the restaurant’s wine cellar every 30 days, and during a recent visit, there were 25 bottles in stock. The lead time to receive an order is 2 days. The restaurant manager has requested an order size that will enable him to limit the probability of a stockout to 2%. Determine the order size.A retail store stocks an item of household electrical lighting. The store receives its stock from a large warehouse and the supply period is 3 working days. The store adopts a fixed policy of reorder point (R) at 15 units with a fixed quantity (Q) = 40 units. The current available stock at the end of the first day = 19 units and the demand for this item occurs daily. The stock status (IP) is compared with the reorder point (R) after each order if necessary an order is issued and the stock status is updated. Based on the planned demand in the table below, including information about Scheduled Receipts and Backorders : Indicate when the request should be made using the continuous review (Q) system - explaining your answer in the short comment. :Decision | Redial | Inventory Status | Deferred | Scheduled | Inventory I the | Day Decide point (IP)| Orders | Orders Available | demand when to (R) ' Available stock = (BO) (SR) (OH) | (daily (d request scheduled + daily) | using the | orders…
- A retail store stocks an item of household electrical lighting. The store receives its stock from a large warehouse and the supply period is 3 working days. The store adopts a fixed policy of reorder point (R) at 15 units with a fixed quantity (Q) = 40 units. The current available stock at the end of the first day = 19 units and the demand for this item occurs daily. The stock status (IP) is compared with the reorder point (R) after each order if necessary an order is issued and the stock status is updated. Based on the planned demand in the table below, including information about Scheduled Receipts and Backorders : Indicate when the request should be made using the continuous review (Q) system - explaining your answer in the short comment. :Decision | Redial | Inventory Status | Deferred | Scheduled Inventory the | Day Decide point (IP) | Orders Orders Available | demand when to (R) | Available stock = (BO) (SR) (OH) | (daily (d request scheduled + daily) using the “ orders (use…The 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?The amount of denim used daily by the Southwest ApparelCompany in its manufacturing process to make jeans isnormally distributed with an average of 4000 yards ofdenim and a standard deviation of 600 yards. The lead timerequired to receive an order of denim from the textile mill is a constant 7 days. Determine the safety stock and re-order point if the company wants to limit the probability of a stockout and work stoppage to 5%.