4. A beer store uses a (Q. R) inventory system to control its stock levels. For a particularly popular black ale (a type of beer), historical data shows that the distribution of weekly demand is approximately normal, with mean 7 and standard deviation 2. Replenishment lead time for this beer store is about 5 weeks. Each unit of this beer costs the store $60. Although excess demands are back-ordered, the store owner estimates that unfilled demands cost about $100 per unit in bookkeeping and loss-of-goodwill costs. Fixed costs of replenishment are $150 per order, and holding costs are based on a 30% annual rate of interest. Assume each month is equivalent to 4 weeks. (a) What are the optimal lot sizes and reorder points for this beer? (b) What is the optimal safety stock for this beer? (c) What if the unfilled demands now incur a penalty cost of $75 per unit beer per week?

4. A beer store uses a (Q. R) inventory system to control its stock levels. For a particularly popular black ale (a type of beer), historical data shows that the distribution of weekly demand is approximately normal, with mean 7 and standard deviation 2. Replenishment lead time for this beer store is about 5 weeks. Each unit of this beer costs the store $60. Although excess demands are back-ordered, the store owner estimates that unfilled demands cost about $100 per unit in bookkeeping and loss-of-goodwill costs. Fixed costs of replenishment are $150 per order, and holding costs are based on a 30% annual rate of interest. Assume each month is equivalent to 4 weeks. (a) What are the optimal lot sizes and reorder points for this beer? (b) What is the optimal safety stock for this beer? (c) What if the unfilled demands now incur a penalty cost of $75 per unit beer per week?

Purchasing and Supply Chain Management

6th Edition

ISBN:9781285869681

Author:Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. Patterson

Publisher:Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. Patterson

Chapter16: Lean Supply Chain Management

Section: Chapter Questions

Problem 10DQ: The chapter presented various approaches for the control of inventory investment. Discuss three...

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Weiss’s paint store uses a (Q, R) inventory system to control its stock levels. For a particularly popular white latex paint, historical data show that the distribution of monthly demand is approximately normal, with mean 28 and standard deviation 8. Replenishment lead time for this paint is about 14 weeks. Each can of paint costs the store $6. Although excess demands are back-ordered, the store owner estimates that unfilled demands cost about $10 each in bookkeeping and loss-of-goodwill costs. Fixed costs of replenishment are $15 per order, and holding costs are basedon a 30 percent annual rate of interest.a. What are the optimal lot sizes and reorder points for this brand of paint?b. What is the optimal safety stock for this paint?
Discount-Mart, a major East Coast retailer, wants todetermine the economic order quantity (see Chapter 12 for EOQformulas) for its halogen lamps. It currently buys all halogenlamps from Specialty Lighting Manufacturers in Atlanta. Annualdemand is 2,000 lamps, ordering cost per order is $30, and annualcarrying cost per lamp is $12. a) What is the EOQ?b) What are the total annual costs of holding and ordering(managing) this inventory?c) How many orders should Discount-Mart place with SpecialtyLighting per year?
A local artisan uses supplies purchased from an overseas supplier. The ownerbelieves the assumptions of the EOQ model are met reasonably well. Minimization ofinventory cost is her objective. Relevant data, from the files of the credit firm, are annualdemand (C) = 240 units, ordering cost (B) = 42 MU/order, and holding cost = 4MU/unit/year.a) How many should she order at one time?b) How many times per year will she replenish its inventory of this material?c) What will be the total inventory costs associated with this material? Please mention formulas and do it in detail so I can understand.
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A supplier sells MF Tires to dealers. The annual demand is approximately1,000 tires. The supplier pays P50 for each tire and estimates that the annualholding cost is 20 percent of the total value of tires. It costs approximatelyP25 to place an order. The supplier currently orders 80 tires per month.Required:a. Calculate ordering, holding, and total inventory costs for thecurrent ordered quantity.b. Determine the EOQ.c. How many orders will be placed per year using the EOQ?d. Calculate ordering, holding, and total inventory costs for the EOQand also determine the change in total inventory cost.A supplier sells MF Tires to dealers. The annual demand is approximately1,000 tires. The supplier pays P50 for each tire and estimates that the annualholding cost is 20 percent of the total value of tires. It costs approximatelyP25 to place an order. The supplier currently orders 80 tires per month.Required:a. Calculate ordering, holding, and total inventory costs for thecurrent ordered…
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Your firm uses a continuous review system and operates 52 weeks per year. One of the Stock-Keeping Units (SKUs) has the following characteristics:Demand = 20000 units/year = 385 units/weekOrdering cost = $40/orderHolding cost = $2/unit/yearService level = 95 percentz=1.65Lead time = 2 weeksDemand is normally distributed, with a standard deviation of weekly demand of 100 units. a)Calculate the item's EOQ. b)Find the safety stock and reorder point that provide a 95 percent service level. c)For these policies, what are the annual costs of (i) holding the cycle inventory and (ii) placing orders?
I need a detailed explanation on how to solve this problem: A paint shop implements an inventory policy on its stock of white paint, which costs the store $6 per can. Monthly demand for cans of white paint is normal with mean 28 and standard deviation 8. The replenishment lead time is 14 weeks. Excess demand is backordered, but costs $10 per back ordered can in labor and loss of goodwill. There is a fixed cost of $15 per order, and the holding cost is based on 30% interest rate per annum. In your computations, assume 4 weeks per month. - Write down the model name and parameters. - What are the optimal lot size and reorder points for white paint (include the formulas)? - What is the optimal safety stock (include the formula)? *** Suppose the paint shop from the above problem adopts a service level policy. - What are the optimal lot size and reorder points for white paint, such that 90% of the cycles are filled without backordering (include all formulas)? - What is the fill rate…
the economic order quantity (see Chapter 12 for EOQformulas) for its halogen lamps. It currently buys all halogenlamps from Specialty Lighting Manufacturers in Atlanta. Annualdemand is 2,000 lamps, ordering cost per order is $30, and annualcarrying cost per lamp is $12.a) What is the EOQ?b) What are the total annual costs of holding and ordering(managing) this inventory?c) How many orders should D iscount-Mart place with SpecialtyLighting per year?
Skinnerís Fish Market buys fresh Boston bluefish daily for $5.60 per pound and sells it for $9.80 per pound. At the end of each business day, any remaining bluefish is sold to a producer of cat food for $3.80 per pound. Daily demand can be approximated by a normal distribution with a mean of 105 pounds and a standard deviation of 24 pounds. 1. What inventory model should be used to determine the order quantity to maximize the total expected proÖt? Why? 2. What is the service level under the optimal order quantity? 3. How much fresh Boston blueÖsh should Skinnerís Fish Market order so as to maximize the total expected proÖt?
#5. Consider a product that is stocked using periodic review inventory policy. Orders are placed every 21 days, and shipment lead time is four days. Daily demand is normally distributed with a mean of 58 and standard deviation of 16; fulfillment policy is at 97%. You have to do the following: (b) If the current stock is 398, and we are about to place an order, how much do we order?.
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