A sporting goods company has a distribution center that maintains inventory of fishing rods. The fishing rods have the following demand, lead time, and cost characteristics: Average demand = 130 units per day, with a standard deviation of 12 units Average lead time = 12 days with a standard deviation of 1 day 250 days per year in the business year Unit cost = $28 Desired service level = 97.5% Ordering cost $53 Inventory carrying cost = 25% a. What is the standard deviation of demand during lead time? b. How many fishing rods should the distribution center carry to provide the desired service level? c. What is the EOQ? d. What is the average cycle stock?

A sporting goods company has a distribution center that maintains inventory of fishing rods. The fishing rods have the following demand, lead time, and cost characteristics: Average demand = 130 units per day, with a standard deviation of 12 units Average lead time = 12 days with a standard deviation of 1 day 250 days per year in the business year Unit cost = $28 Desired service level = 97.5% Ordering cost $53 Inventory carrying cost = 25% a. What is the standard deviation of demand during lead time? b. How many fishing rods should the distribution center carry to provide the desired service level? c. What is the EOQ? d. What is the average cycle stock?

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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The chapter presented various approaches for the control of inventory investment. Discuss three additional approaches not included that might involve supply chain managers.
A pharmacist is trying to determine the inventory order and stock levels for a particular drug. The following information is available about the drug. Demand (D) 85 tablets/week Working weeks per year 52 weeks Unit holding cost per year (H) $6 Order cost (S) $44/order Standard deviation of weekly demand (sd) 15 tablets Lead time (L) 2 weeks Desired cycle service level 95% If the pharmacist uses the continuous review (Q) system to control the inventory of the drug, what would be the order quantity and reorder point? If the pharmacist uses the periodic review (P) system to control the inventory of the drug, what would be the review interval and target inventory level? (Hint: Use the EOQ model to derive the review interval P)
Inventory Management Reorder The ToyWorld company produces toys out of plastic ordered from an outside supplier. ToyWorld's daily demand for plastic is normally distributed with a mean of 7,800 pounds and a standard deviation of 1,050 pounds. Lead time is 16 days. (Use the Formula Sheet Z table to determine Z values.) What is the service level if ToyWorld reorders when the plastic inventory reaches 134,586 pounds?
A subcontracting firm Gamma Pharmaceuticals Ltd. located in Western India dealing with generic medicines operates 50 weeks per year. The following information is available regarding the major ingredient used for the medicine:Weekly Demand= 60 unitsStandard deviation of weekly demand = 9 unitsOrdering costs (Co) = Rs. 64/ orderHolding costs (Ch) = Rs.40/unit/yearCycle-service level = 90% (z-value = 1.28)Lead time = 2 weeksNumber of weeks per year = 50 weeksd) Using the fixed order quantity system to control inventory, calculate the EOQe) Compute the reorder point and state the order decision rulef) Compute the total variable cost of inventory.
University Drug Pharmaceuticals orders its antibiotics every two weeks (14 days) when a salesperson visits from one of the pharmaceutical companies. Tetracycline is one of its most prescribed antibiotics, with average daily demand of 2,000 capsules. The standard deviation of daily demand was derived from examining prescriptions filled over the past three months and was found to be 800 capsules. It takes f ive days for the order to arrive. University Drug would like to satisfy 99 percent of the prescriptions. The salesperson just arrived, and there are currently 25,000 capsules in stock.How many capsules should be ordered?
Daily demand for product sample kits is normally distributed with a mean of 35 units and a standard deviation of 4. Supply is virtually certain with a lead time of 9 days. The cost of placing an order is $20, and annual carrying costs for one kit is 25 percent. The price of one kit is $12.50. Assume a year has 365 days.If a 99% service level is desired, what is average inventory on hand? If demand had no variation, what would the reorder point be?
Sam's Pet Hotel operates 52 weeks per year, 6 days per week, and uses a continuous review inventory system. It purchases kitty litter for $13.00 per bag. The following information is available about these bags: ≻Demand=75 bags/week ≻Order cost=$55.00/order ≻Annual holding cost=25 percent of cost ≻Desired cycle-service level=80 percent ≻Lead time=4 weeks (24 working days) ≻Standard deviation of weekly demand=15 bags ≻Current on-hand inventory is 320 bags, with no open orders or backorders. Part 2 a. Suppose that the weekly demand forecast of 75 bags is incorrect and actual demand averages only 50 bags per week. How much higher will total costs be, owing to the distorted EOQ caused by this forecast error? The costs will be $enter your response here higher owing to the error in EOQ. (Enter your response rounded to two decimal places.) a. What is the EOQ? What would the average time between orders (in weeks)? b. What should R be? c. An inventory withdraw…
Sam's Cat Hotel operates 50 weeks per year, 6 days per week, and uses a continuous review inventory system. It purchases kitty litter for $12.00 per bag. The following information is available about these bags: > Demand = 95 bags/week > Order cost = $50.00/order > Annual holding cost = 20 percent of cost > Desired cycle-service level = 80 percent > Lead time =5 weeks (30 working days) > Standard deviation of weekly demand = 15 bags > Current on-hand inventory is 320 bags, with no open orders or backorders. a. Suppose that the weekly demand forecast of 95 bags is incorrect and actual demand averages only 75 bags per week. How much higher will total costs be, owing to the distorted EOQ caused by this forecast error? The costs will be $ higher owing to the error in EOQ. (Enter your response rounded to two decimal places.)
As the Manager of Branson’s Department Store, you are responsible for ensuring that reorder quantities for the various items have been correctly established. You decide to test one item and choose product Z. A continuous review inventory policy has been used, so you examine this as well as other records and come up with the following data: Cost per unit $35 Holding cost 20 percent of unit cost Average daily demand 10 units Ordering cost $30 per order Standard deviation of daily demand 3 units Delivery lead time 4 days Because customers generally do not wait but go elsewhere, you decide on a service probability of 90 percent. Assume that Branson’s Department Store operates 320 days per year. [What is the annual demand (D)? Determine the optimal order quantity, Q*. Determine the reorder point (R) if demand is constant. Determine the reorder point (R) if demand is varies.
Golden Crust Bakery buys flour in 25-pound bags. The bakery uses an average of 1,215 bags a year. Preparing an order and receiving a shipment of flour involves a cost of $10 per order. Annual holding costs are $75 per bag. Once an order for flour is placed, it takes six (6) days to receive the order from the flour factory. The bakery operates 350 days per year. Calculate the following: Economic Order Quantity Expected number of orders (Order Frequency) Average inventory The annual holding cost The annual ordering cost The total annual cost of inventory management Reorder point If holding costs were to increase by $9 per year, how much would that affect the minimum total annual cost?
Inventory Management Reorder The ToyWorld company produces toys out of plastic ordered from an outside supplier. ToyWorld's daily demand for plastic is normally distributed with a mean of 7,800 pounds and a standard deviation of 1,050 pounds. Lead time is 16 days. (Use the Formula Sheet Z table to determine Z values.) ToyWorld uses an average of pounds of plastic during the lead time. Find the average pounds of plastic. If ToyWorld uses a 70% service level, how much safety stock will be used? What is the reorder point if ToyWorld wants to limit the probability of a stockout to 8 percent? What is the service level if ToyWorld reorders when the plastic inventory reaches 134,586 pounds?
Weekly Average Demand 110 Standard deviation of (weekly) demand 30 Setup cost ($) 1400 Lead time (in weeks) 2 Procurement cost ($) 200 Holding cost /unit/week ($) 3 You are given the demand and inventory related information about a grocery store’s product in the table. The store is open for 46 weeks in a year. What is the reorder point if it wants to achieve a service level of 97%? (Do not round your intermediate calculations. Round your final answers to the nearest whole number.