1. Find the optimal order quantity and reorder level to minimize average annual cost of holding, setup, and stockout. 2. What is the average annual cost of holding, setup, and stockouts, when the Q,R-policy in part 1 is used?
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- The owner and manager of a hardware store reevaluates his inventory policy for hammers. sells an average of 50 hammers a month, so you have placed purchase orders for 50 hammers with a distributor at a cost of $20 each at the end of each month. But the owner does not place all the store orders and find that this takes much of your time. He estimates that the value of his time spent ordering hammers is $75. a) What must be the unit cost of maintaining hammers for the current policy of the hardware store to be Optimal according to the EOQ model? b) If the distributor delivers an order for hammers in 5 business days (out of an average of 25 per month), what should be the reorder point, according to the EOQ model?A lawn and garden shop that is open for business seven days a week orders bags of grass seed every OTHER Monday. Lead time for seed orders is 5 days. On Monday, at ordering time, a clerk found 112 bags of seed in stock, and so he ordered 198 bags. Daily demand for grass seed is normally distributed with a mean of 15 bags and a standard deviation of four bags.The manager would like to know what the probability is that a grass seed stockout will occur before the next order arrives. Please show a correct solution and answer. Thank you.A store has collected the following information on one of its products:Demand = 4,500 units/year Standard deviation of weekly demand = 12 units Ordering costs = $40/order Holding costs = $3/unit/year Cycle-service level = 90% (z for 90% = 1.28) Lead-time = 2 weeks Number of weeks per year = 52 weeks a. If a firm uses the continuous review system to control the inventory, what would be the order quantity and reorder point?
- An electronics retailer wants to develop an inventory policy to achieve 99% chance of not getting stockouts for a chip. The daily demand for the chip is estimated to be Normal with mean 200 and standard deviation of 20. They count the chip inventory every 2 weeks to place an order, and it takes 11 days for the ordered chips to be delivered. The retailer operates 7 days a week, 365 days a year. They are going to implement an order-up-to model. A) What base stock level should they choose? B) What is the number of chips they would have on order (on average)? C) When they checked their inventory of chips to place a new order, they found that they ran out of stock completely. In addition, they have 10 chips on way to be delivered, while there are five customers who paid for 20 chips in total and are waiting to receive their chips. How many chips should the retailer order?Annual demand is 16000 units, cost per order is $75 and carrying cost per unit as a percentage is 10%. The company works 250 weeks a year; the lead-time on all orders placed is 6 working days. Assuming constant lead-time demand, and a unit cost of $45 what is the economic order quantity? What is the reorder point. If lead-time demand shows variability that follows a normal distribution with a mean μ =420 and a standard deviation σ =20, what will the revised reorder point if two stock-outs (shortages) are allowed? What is the company’s reorder point if the probability of a stock-out on any cycle is restricted to 0.05?That One Book sells its books through The Witch and the Wardrobe bookstores. It costs That One Book $0.80 to print each book; it sells the book to The Witch and the Wardrobe for $2.50. The Witch and the Wardrobe then sells the books at retail for $6.00. Whatever doesn’t sell gets thrown away. Demand for the book each issue is normal with a mean of 5219 and a standard deviation of 1610. To give The Witch and the Wardrobe incentive to order more books, it proposes a revenue-sharing contract. Instead of selling the book to The Witch and the Wardrobe for $2.50, That One Book will sell its books to The Witch and the Wardrobe for only $1.00. However, for each book that The Witch and the Wardrobe sells at retail, The Witch and the Wardrobe must give $2.00 back to That One Book. With this revenue sharing agreement in place, what is the optimal order amount that will maximize The Witch and the Wardrobe expected profit? Please do fast ASAP
- XYZ Company must order tires from its warehouse. It costs $10550 to place an order and to review the inventory level. Annual tire sales are normally distributed with mean 20000 and variance 4,000,000. It costs $10 per year to hold a tire in inventory, and each order arrives two weeks after being placed. The Company uses periodic review (R, S) policy. What is the review interval R (in years), estimated using EOQ.? Select one: a. 1.027 O b.0.1083 c. 0.2297 d. 0.1624 e. 0.3248weekly demand for hamleys (a famous toy brand) at a toy store is normally disrtibuted with a mean of 250 and a standrd devaiton of 150.Ther toy store is opened 7 days a week.The toy store owner continoulsy monitors the inventory .Hamleys takes 2 weeks to fill an order with a standard devaiton of 4 days. 1] how much inventory should the sotre carry at the reorder point. 2] how much inventory would that be at the reorder point if the cycle service was increased to 98%?The manager of a local retail store is ordering a specialty item from a supplier in Toronto. The lead time is cons days. The store is open 300 days a year (50 weeks Monday-Saturday, with a two-week vacation). The average. is 40 units, with a standard deviation of 7.6. (Assume that the distribution is approximately normal.) It costs $40 to place an Time left 1:45:28 order, and the annual holding cost is 30% of the inventory value. The supplier charges $8.00 per unit. Find the economic order quantity (EOQ). O a. 1788 O b. 346 O c. 36 Od. 632 The manager of a local retail store is ordering a specialty item from a supplier in Toronto. The lead time is constant at five days. The store is open 300 days a year (50 weeks Monday-Saturday, with a two-week vacation). The average daily demand is 40 units, with a standard deviation of 7.6. (Assume that the distribution is approximately normal) It costs $40 to place an order, and the annual holding cost is 30% of the inventory value. The supplier…
- = = +E v No Spacing Normal Aav Replace Heading 1 Reuse Dictate Editor Files Paragraph Styles Editing Reuse Files Voice Editor Item SKU A3378 has a demand that is normally distributed during the lead time, with a mean of 360 units and standard deviation 9999 of 12. If Hinsdale cannot have stockouts in more than 10% of the time in any order, how much safety stock should be maintained and at what reorder point? 1. SKU F5402: daily demand is normally distributed with a mean of 16, standard deviation of 4, lead time is 4 days, and must operate at a 95% service level. 2. SKU B7319: daily demand is constant at 24 units per day, lead time is normally with a mean of 6 days and standard deviation of 2 days, and must operate at a 95% service level. 3. SKU F9004: daily demand is normally distributed with a mean of 21 units and a standard deviation of 3 days. The lead time is also normally distributed with a mean of 4 days, standard deviation of 2 days, and a service level of 90% is required. Text…Bads, Inc., sells an average of 1,000 food processors each year. Each order for foodprocessors placed by Bads costs $50. The lead time is one month. It costs $10 to hold afood processor in inventory for one year. Annual demand for food processors is normallydistributed, with a standard deviation of 69.28. For each of the following values of SLM1,determine the reorder point: 80%, 90%, 95%, 99%, 99.9%.At Matthews Car Repair, customer demand for a certain brand of motor oil is normally distributed with a mean of 15 gallons and a standard deviation of 6 work-days. To be 95% sure that Compact Car Repair will not run out of oil, we should reorder when motor oil in stock is less than _______ gallons. a. 24.9 b. 22.6 c. 23.7 d. 20