OPERATIONS MANAGEMENT (LL)-W/ACCESS
17th Edition
ISBN: 9781260037821
Author: CACHON
Publisher: MCG
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Chapter 14, Problem 6CQ
Summary Introduction
To identify: The probability of a period ending with no on-hand inventory will be equal to.
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The best quantity to order One of the formulas for inventorymanagement says that the average weekly cost of ordering, payingfor, and holding merchandise iswhere q is the quantity you order when things run low (shoes,TVs, brooms, or whatever the item might be); k is the cost ofplacing an order (the same, no matter how often you order); c isthe cost of one item (a constant); m is the number of items soldeach week (a constant); and h is the weekly holding cost per item(a constant that takes into account things such as space, utilities,insurance, and security). Find dA>dq and d2A>dq2.
jeweler purchases silver for use in its products. The firm uses 190 grams of silver per week and purchases silver for $0.52 per gram from a supplier. Each time the firm orders silver from the supplier, the firm must pay a $11 order processing charge. The firm's annual holding cost percentage is 38%.
Do not round intermediate calculations. Assume there are 52 weeks in a year and round your answer to two decimal places.
If the jeweler orders 1,950 grams of silver with each order, what is the sum of the annual holding and ordering costs?
dollars
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A product’s demand over (l + 1) periods is normally distributed with a mean of 100 and standard deviation of 10. Lead time is 2 periods. The order-up-to model is used to manage inventory. If in-stock probability stays at 99%, what will happen to expected on-hand inventory when expected demand increases to 200?
A) It will increase.
B) It will stay the same.
C) It will decrease.
D) It may either increase or decrease.
Chapter 14 Solutions
OPERATIONS MANAGEMENT (LL)-W/ACCESS
Ch. 14 - Demand in each period follows the same normal...Ch. 14 - Prob. 2CQCh. 14 - For products with slow-moving demandfor example,...Ch. 14 - Prob. 4CQCh. 14 - Prob. 5CQCh. 14 - Prob. 6CQCh. 14 - Prob. 7CQCh. 14 - Prob. 8CQCh. 14 - If the target in-stock probability increases, then...Ch. 14 - Prob. 10CQ
Ch. 14 - Prob. 11CQCh. 14 - Prob. 12CQCh. 14 - Prob. 13CQCh. 14 - Prob. 14CQCh. 14 - Prob. 15CQCh. 14 - Prob. 16CQCh. 14 - Prob. 17CQCh. 14 - Prob. 18CQCh. 14 - Prob. 19CQCh. 14 - Prob. 1PACh. 14 - Prob. 2PACh. 14 - Prob. 3PACh. 14 - You are the owner of Hotspices.com, an online...Ch. 14 - Prob. 5PACh. 14 - Prob. 6PACh. 14 - Prob. 7PACh. 14 - Prob. 1CCh. 14 - Prob. 2CCh. 14 - Prob. 3CCh. 14 - CASE WARKWORTH FURNITURE1 Warkworth Furniture...Ch. 14 - CASE WARKWORTH FURNITURE1 Warkworth Furniture...
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- You are the owner of Hotspices.com, an online retailer of hip, exotic, and hard-to-findspices. Consider your inventory of saffron, a spice (generally) worth more by weightthan gold. You order saffron from an overseas supplier with a shipping lead time of fourweeks and you order weekly. Average weekly demand is normally distributed with amean of 40 ounces and a standard deviation of 30 ounces.a. Suppose it uses an order-up-to level of 301 ounces. What is its expected on-hand inventory? b. Suppose it uses an order-up-to level of 250 ounces. What is its expected on-order inventory? c. Suppose it uses an order-up-to level of 368 ounces. What is its in-stock probability? d. Suppose it wants a .96 in-stock probability. What should its order-up-to level be?arrow_forwardA firm uses the order-up-to model to manage its inventory. It wants to increase its in-stockprobability while decreasing its holding costs (i.e., reducing its average inventory). Which ofthe following actions will help to achieve this goal? (Consider each action independently.)I. Decrease the lead time.II. Increase the order-up-to level.III. Increase the average quantity on order.a. Only Ib. Only IIc. Only IIId. I and IIe. I and IIIf. II and IIIg. Any of them will help (that is I, II, or III).h. None of them will help.arrow_forwardIn the fixed-time period model, the order quantity is determined for which: A. The total annual inventory cost is minimized.B. The annual setup cost is equal to the annual holding cost.C. The probability of stockout is minimized.D. None of the abovearrow_forward
- Suppose the newsvendor model is used to manage inventory. Which of the followingcan happen when the order quantity is increased by one unit? a. Expected sales increases by more than one unit.b. Expected leftover inventory increases by more than one unit.c. Expected sales decrease by less than one unit.d. Expected leftover inventory increases by less than one unit.arrow_forwardThe materials manager of a tire manfacturer must predict periodically place order for a key chemical one of the raw materials used in manufacturing uses the chemical at a rate of 300lbs each week and the lead time of delivery is 4 days. Assume that the manufacturing operation runs 5 days a week. At what point should the chemical be reorderedd a. when 1200lbs are remaining b. where 0lbs are remaining c. where 375lbs are remaining d. when 240lbs are remarrow_forwardYou are conducting a retrospective analysis for an Order-Up-To system (thus, the unsold inventory at the end of a week is carried over to the next week). The beginning inventory in week 1 is 150 units, the demand in week 1 is 180 units and the demand during week 2 is 250 units. If you receive a shipment of 115 units every week, at the end of week 2, the inventory level is 180 the inventory level is 200 the inventory level is 310 the backorder level is 30 the backorder level is 50 none of the above is correctarrow_forward
- If the target in-stock probability increases, then the expected time between stockouts: a. increases.b. remains the same.c. decreases.d. could increase or decrease.arrow_forwardSuppose that an organization is engaged in manufacturing and sales of a seasonal product. Based on a sales forecast of 1000, 500, 500, and 2000 per quarter, calculate a level production plan, quarterly ending inventory, and average quarterly inventory. If inventory carrying costs are $7 per unit per quarter, what is the annual cost of carrying inventory? Assume that the opening and ending inventories are zero. (without using Excel)arrow_forwardDemand in each period follows the same normal distribution (i.e., there is one demand distribution that represents demand in any single period). Assuming demand is independent acrossperiods, which of the following statements about mean demand over five periods is true? a. It equals the mean of demand over one period.b. It is greater than the mean of demand over one period but less than five times the meanof demand over one period.c. It equals five times the mean of demand over one period.d. It is even more than five times the mean of demand over one period.arrow_forward
- Which of the following statements is true: (T, S) policies require more safety stock than (s, Q) policies to achieve the same CSL. An (s, Q) policy where both demand and lead-time are stochastic requires more safety stock than an (s, Q) policy where only the demand is stochastic. For an (s, Q) policy, the reorder level is always larger than the safety stock. All of the above.arrow_forwardI Carry rents trucks for moving and hauling. Each truck costs the company anaverage of $8,000, and the inventory of trucks varies monthly depending on thenumber that are rented out. During the first eight months of last year, I Carry hadthe following ending inventory of trucks on hand:Month Number of Trucks Month Number of TrucksJanuary 26 May 13February 38 June 9March 31 July 16April 22 August 5I Carry uses a 20 percent annual interest rate to represent the cost of capital.Yearly costs of storage amount to 3 percent of the value of each truck, and the costof liability insurance is 2 percent.a. Determine the total handling cost incurred by I Carry during the period Januaryto August. Assume for the purposes of your calculation that the holding costincurred in a month is proportional to the inventory on hand at the end of themonth.b. Assuming that these eight months are representative, estimate the average annual cost of holding trucksarrow_forwardA company uses the newsvendor model to manage its inventories and faces normallydistributed demand with a coefficient of variation of 0.75. The company decides toorder a quantity that exactly equals the mean of its demand forecast. Which of the following is true regarding this company’s performance measures? a. There is a .50 probability that there is enough inventory to serve all demand.b. Expected inventory equals 50 percent of the mean of the demand forecast.c. The stockout probability is .25.d. Expected inventory is 0.arrow_forward
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