A firm faces a demand of 40,000 units per month for one of its lines of stock. The firm's cost of holding stock is £2 per unit of average stock per month, and it costs the firm a total of £100 every time it orders and acquires a new shipment of stock. The firm is willing to face stock-outs and the cost of such is £6 per unit of average stock-out per month. Assuming the firm attempts to minimise overall inventory-related costs, how large (approximately) will the firm allow its stock- outs to become before each new stock delivery arrives? a. 577 units b. 981 units c. 782 units d. 904 units

A firm faces a demand of 40,000 units per month for one of its lines of stock. The firm's cost of holding stock is £2 per unit of average stock per month, and it costs the firm a total of £100 every time it orders and acquires a new shipment of stock. The firm is willing to face stock-outs and the cost of such is £6 per unit of average stock-out per month. Assuming the firm attempts to minimise overall inventory-related costs, how large (approximately) will the firm allow its stock- outs to become before each new stock delivery arrives? a. 577 units b. 981 units c. 782 units d. 904 units

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...

See similar textbooks

Similar questions

A firm faces a demand of 40,000 units per month for one of its lines of stock. The firm’s cost of holding stock is £2 per unit of average stock per month, and it costs the firm a total of £100 every time it orders and acquires a new shipment of stock. The firm is willing to face stock-outs and the cost of such is £6 per unit of average stock-out per month. Assuming the firm attempts to minimise overall inventory-related costs, how large (approximately) will the firm allow its stock-outs to become before each new stock delivery arrives? A. 782 units B. 577 units C. 904 units D. 981 units * Explain in full detail
Suppose that a publishing company periodically replenish its supply of paper stock. The paper comes in large rolls and that the printer uses 60 rolls per bi-month. The cost of one roll paper is OMR 150. The cost of replenishment is OMR 10 per order. The cost of keeping the paper on hand, including rent for space occupied, insurance, and interest on the capital tied up is 10 percent per roll per year. Calculate: The EOQ. No. of orders in a year, and Time between two successive orders Average yearly cost of Inventory Total inventory cost Total Cost
44. The Kirei-Hana Japanese Steak House in San Francisco consumes 3,000 pounds of sirloin steak each month. Yama Hirai, the new restaurant manager, recently completed an MBA degree. He learned that the steak was replenished using an EOQ value of 2,000 pounds. The EOQ value was computed assuming an interest rate of 36 percent per year. Assume that the current cost of the sirloin steak to the steak house is $4 per pound. a. What is the setup cost used in determining the EOQ value? Mr. Hirai received an offer from a meat wholesaler in which a discount of 5 percent would be given if the steak house purchased the steak in quantities of 3,000 pounds or more. b. Should Mr. Hirai accept the offer from the wholesaler? If so, how much can be saved? c. Because of Mr. Hirai's language problems, he apparently misunderstood the offer. In fact, the 5 percent discount is applied only to the amounts ordered over 3,000 pounds. Should this offer be accepted, and if so, how much is now saved?
A company has the option of purchasing a good ormanufacturing the item. If the item is purchased, thecompany will be charged $25 per unit plus a cost of $4 perorder. If the company manufactures the item, it has aproduction capacity of 8,000 units per year. It costs $50 toset up a production run, and annual demand is 3,000 unitsper year. If the annual holding cost is 10% and the cost ofmanufacturing one unit is $23, determine whether thecompany should purchase or manufacture the item.
2. (SCM) Paris bakery requires, on average, 1,800 tons of flour each week, with a standard deviation of 500 tons. The lead time to receive its orders is 3 weeks. The holding cost for one ton of flour for one week is $8. It operates with a 97.98% in-stock probability. What would be its average holding cost per ton? (
Consider a hardware supply warehouse that is contractually obligated to deliver 1000units a specialized fastener to a local manufaturing company each week. Each time thewarehouse places an order for these items from its supplier, an ordering and transporationfee off $20 is charged to the warehouse. The warehouse pays $1.00 for each fastener andcharges the local firm $5.00 for each fastener. Annual holding cosst iss 25% off inventoryvalue, or $0.25 per year. The warehouse manager would like to know how much to orderwhen inventory gets to zero.Assume that the warehouse works 50 weeks/year.
6. Leaky Pipe, a local retailer of plumbing supplies, faces demand for one of its SKUs at a constant rate of 17,000 units per year. It costs Leaky Pipe $5 to process an order to replenish stock and $2.00 per unit per year to carry the item in stock. Stock is received 12 working days after an order is placed. No backordering is allowed. Assume 365 working days a year. d. The demand during lead time is _____ units. (Enter your response rounded to the nearest whole number.) e. The reorder point is ______ units. (Enter your response rounded to the nearest whole number.) f. The inventory position immediately after an order has been placed is _____ units. (Enter your response rounded to the nearest whole number.)
Abdullah records the following monthly purchases and sales of an item. Month Number bought Cost of each unit (€) Number sold November 110 22 73 December 60 26 71 January February March 70 30 49 50 28 53 80 24 37 April 40 32 71 Assuming he has no opening stock (Before November), 1. What is the remaining stock at the end of the period (April)? 2. What is the cost (cost of purchase) of the total inventory (Currency in Saudi Riyals))? 3. If each unit is sold for 35SR, What is the income for Abdullah's company till end of April?
b. Given the following information: Expected demund during lead time 300 units Standard devintion of lead time demand 30units Determine the following, assuming that lead time is constant and lead time demand is normally distributed: The ROP that will provide a stockout risk of 1% during lead time The safety stock needed to attain a 1% risk of stockout during lead time Would n stockout risk of 2% require more or less safety stock than a 1% risk? Explain. i. ii. iii. Based on III, would the ROP be larger, smaller or unaffected if the acceptable risk were 2% instead of 1%? Explain iv.
Westside Auto purchases a component used in the manufacturing of automobile generators directly from the supplier. Westside’s generator production operation, which is operated at a constant rate, will require 1,000 components per month throughout the year (12,000 units annually). Assume that the ordering costs are $25per order, the unit cost is $2.50 per component, and annual holding costs are 20% of the value of the inventory. Eastside has 250 working days per year and a lead time of 10 days. a) What is the EOQ for this component? b) What is the cycle time? c)
Anvils Works’ requires, on average, 2800 tons of aluminum each week, with a standarddeviation of 1000 tons. The lead time to receive its orders is 10 weeks. The holdingcost for one ton of aluminum for one week is $11. It operates with a 0.98 in-stockprobability.a. On average, how many tons does it have on order?b. On average, how many tons does it have on hand?c. If its average inventory was 5000 tons, what would be its average holding cost perweek?d. If its average inventory was 10,000 tons, what would be its average holding cost perton of aluminum?e. Suppose its on-hand inventory is 4975 tons, on average. What in-stock probabilitydoes it offer to its customers?
Suppose that a publishing company periodically replenish its supply of paper stock. The paper comes in large rolls and that the printer uses 8100 rolls per year. The cost of ordering is OMR 20 per order. The cost of keeping the paper on hand, including rent for space occupied, insurance, and interest on the capital tied up is OMR 10 per roll per year. Then, the Minimum Annual Total Inventory Cost is OMR (.....................).(Write the number only) Answer: