The reorder point is defined as the lead-time demand for an item. In cases of long lead times, the lead-time demand and thus thereorder point may exceed the economic order quantity Q*. In such cases, the inventory position will not equal the inventory onhand when an order is placed, and the reorder point may be expressed in terms of either the inventory position or the inventoryon hand. Consider the economic order quantity model with D = 6,250, C = $40, C₁ = $2, and 250 working days per year.Identify the reorder point in terms of the inventory position and in terms of the inventory on hand for each of the following leadtimes.(a) 5 daysinventory positioninventory on hand(b) 15 daysinventory positioninventory on hand.(c) 25 daysinventory positioninventory on hand(d) 45 daysinventory positioninventory on hand

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Answered: The reorder point is defined as the…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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Suppose the following item is being managed using a fixed-order quantity model with safety stock. Annual Demand = 100,000 units Order quantity = 30,000 units Safety stock = 4000 units What are the average inventory level and inventory turnover for this item?
A company has an annual demand of 16,000 products. The products cost $2 each. Ordering and transport costs amount to $200 per order. The annual cost of holding one product in stock is estimated to be $1.20 . Assume that the company adopts the EOQ as its order quantity and it has to have half of the EOQ as inventory on hand when an order is placed. How many weeks does it take for an order to be delivered to the company? (1 year = 52 weeks) A) PPE may be credited by 2 million dollarsB) Revaluation OCI may be credited by 3,3 million dollarsC) Accumulated depreciation may be debited by 4 million dollarsD) Accumulated depreciation may be credited by 1,3 million dollarsE) Other (Please Specify)
Reorder PointConsider an economic order quantity case where annual demand D = 1,000 units, economic order quantity Q = 200 units, the desired probability of not stocking out P = .95, the standard deviation of demand during lead time σL = 25 units, and lead time L = 15 days. Determine the reorder point. Assume that demand is over a 250-workday year.
Item X is a standard item stocked in a company's inventory of component parts. Each year the firm, on a random basis, uses about 2,600 of item X, which costs $25 each. Storage costs, which include insurance and cost of capital, amount to $7 per unit of average inventory. Every time an order is placed for more of item X, it costs $26. a. Whenever item X is ordered, what should the order size be? Note: Round your answer to the nearest whole number. Order size b. What is the annual cost for ordering item X? Note: Round your order quantity to the nearest whole number and your final answer to 2 decimal places. Ordering cost
Item X is a standard item stocked in a company’s inventory of component parts. Each year, the firm, on a random basis, uses about 2,000 of item X, which costs $25 each. Storage costs, which include insurance and cost of capital, amount to $5 per unit of averageinventory. Every time an order is placed for more of item X, it costs $10.a. Whenever item X is ordered, what should the order size be?b. What is the annual cost for ordering item X?c. What is the annual cost for storing item X?
Quantity to OrderDaily demand for a product is 10 units, with a standard deviation of 3 units. The review period is 30 days, and the lead time is 14 days. Management has set a policy of satisfying 98 percent of demand from items in stock. At the beginning of this review period, there are 150 units in inventory.How many units should be ordered?
CU, Incorporated (CUI), produces copper contacts that it uses in switches and relays. CUI needs to determine the order quantity, Q, to meet the annual demand at the lowest cost. The price of copper depends on the quantity ordered. Here are price-break and other data for the problem: Price of copper $ 0.79 per pound up to 2,999 pounds $ 0.78 per pound for orders between 3,000 and 5,999 pounds $ 0.76 per pound for orders 6,000 pounds or greater Annual demand 50,000 pounds per year Holding cost 20 percent per unit per year of the price of the copper Ordering cost $ 30 Which quantity should be ordered?
An item has normally distributed demand with a mean of 100 and a standard deviation of 50. They order a week with one week lead time. Backorders are allowed. A) With an order-up-to level of 300, on-hand inventory of 200, and on-order inventory of 60, how much will be ordered this week? B) What is the standard deviation of demand over 2 weeks?
A health and nutrition store stocks a multivitamin with an annual demand of 1,000 bottles has Co = $24.50 and Ch = $7.The demand exhibits some variability such that the lead-time demand follows a normal probability distribution with ? = 25 and ? = 5. (a)What is the recommended order quantity? (Round your answer to the nearest integer.) (b)What are the reorder point and safety stock if the store desires at most a 4% probability of stock-out on any given order cycle? (Round your answers to the nearest integer.) reorder pointsafety stock (c)If a manager sets the reorder point at 30, what is the probability of a stock-out on any given order cycle? (Round your answer to four decimal places.) How many times would you expect a stock-out during the year if this reorder point were used? (Round your answer to the nearest integer.)
A health and nutrition store stocks a multivitamin with an annual demand of 1,000 bottles has Co probability distribution with μ = 25 and σ = 5. (a) What is the recommended order quantity? (Round your answer to the nearest integer.) = $23.50 and C = $9. The demand exhibits some variability such that the lead-time demand follows a normal (b) What are the reorder point and safety stock if the store desires at most a 4% probability of stock-out on any given order cycle? (Round your answers to the nearest integer.) reorder point safety stock (c) If a manager sets the reorder point at 30, what is the probability of a stock-out on any given order cycle? (Round your answer to four decimal places.) How many times would you expect a stock-out during the year if this reorder point were used? (Round your answer to the nearest integer.)
The demand for a certain product is random. It has been estimated that the monthly demand of the product has a normal distribution with a mend of 390units. The unit price of product is ETB 25. Ordering cost is ETB 40 per order and inventory carrying cost is estimated to be 35 percent per year. Calculate economic order quantity (EOQ).
Based on an EOQ analysis (assuming a constant demand), the optimal order quantity is 2,500. The company desires a safety stock of 500 units. A 5-day lead time is needed for delivery. Annual inventory carrying costs equal 25% of the average inventory level. The company pays P4 per unit to buy the product, which it sells for P8. The company pays P150 to place a detailed order, and the monthly demand for the product is 4,000 units. Compute for the annual inventory carrying costs

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