A manufacturer has a production facility that requires 15,604 units of component JY21 per year.Following a long-term contract, the manufacturer purchases component JY21 from a supplier with alead time of 7 days. The unit purchase cost is $25.6 per unit. The cost to place and process an orderfrom the supplier is $121 per order. The unit inventory carrying cost per year is 10.5 percent of theunit purchase cost. The manufacturer operates 250 days a year. Assume EOQ model is appropriate. Ifthe manufacturer uses a constant order quantity of 2,640 units per order, what is the annual holdingcost?Use at least 4 decimal places.

Holding cost is the total cost incurred to store and hold the stock of inventory in an organization.…

Answered: A manufacturer has a production…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 33P: Assume the demand for a companys drug Wozac during the current year is 50,000, and assume demand...

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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.
The bookstore at Tech purchases jackets emblazoned withthe school name and logo from a vendor. The vendor sellsthe jackets to the store for $38 apiece. The cost to the bookstore for placing an order is $120, and the annual car-rying cost is 25% of the cost of a jacket. The bookstore manager estimates that 1700 jackets will be sold during theyear. The vendor has offered the bookstore the followingvolume discount schedule: Order Size Discount1–299 0%300–499 2%500–799 4%800 5% What is the bookstore’s optimal order quantity, given thisquantity discount information?
The purchasing manager for the Atlantic Steel Company must determine a policy for orderingcoal to operate 12 converters. Each converter requires exactly 5 tons of coal per day to operate,and the firm operates 360 days per year. The purchasing manager has determined that the orderingcost is $80 per order and the cost of holding coal is 20% of the average dollar value of inventoryheld. The purchasing manager has negotiated a contract to obtain the coal for $12 per ton forthe coming year. If 5 days of lead time are required to receive an order of coal, how much coal should be on hand when an order is placed?
Cooler Corporation is a manufacturer of cooling products. It purchases 14,400 units of a particular component (CK55) each year at a cost of $60 per unit. Cooler Corporation requires a 12% annual rate of return on investment. In addition, relevant carrying costs for insurance, material-handling, and breakage are $0.40 per unit per quarter, whereas warehousing rental cost is $12,000 per month. Relevant costs per purchase order are $144.00. Purchasing manager’s salary is $80,000 per year. Required: Calculate Cooler’s EOQ for CK55. Calculate Cooler’s total ordering and carrying costs. Assume that demand is uniform throughout the year and is known with certainty. The purchasing time is half a month. Calculate the reorder point for CK55.
ANT Infra orders two kinds of precast items: A and B for use in its projects from two different suppliers. The precasts are needed throughout the entire 52-week year. Precast A are used at a relatively constant rate and are ordered whenever the remaining quantity drops to the reorder level. While, precast B is ordered from a supplier who delivers by every three weeks. Data for both precast items are as follows:Item Precast A Precast BAnnual demand 10,000 5,000Holding cost (% of item cost)20% 20%Order cost $150 $25Lead time 4 weeks 1 weekSafety stock 55 units 5 unitsItem cost $10.00 $2.00 a. Employ Q system for precast A and calculate the EOQ, the reorder point, total inventory cost? b. Employ P system for precast B and estimate the target level inventory and total inventory cost?
Bold Vision, Inc., must purchase toner from a local supplier. The company does not wish to carry raw material inventory and therefore only purchases enough toner to satisfy the demand of each individual batch of cartridges. Each toner cartridge requires one pound of toner. The raw material supplier offers Bold Vision a purchase discount of $2.00 per pound if the company orders at least 2,000 pounds at a time. Should Bold Vision accept this offer and alter its toner purchase quantity?
A department store uses a (Q, R) policy to control its inventories. Sales of a pocket FM radioaverage 1.4 radios per week. The radio costs the store $50.00, and fixed costs of replenishmentamount to $20.00. Holding costs are based on a 20 percent annual interest charge, and thestore manager estimates a $12.50 cost of lost profit and loss of goodwill if the radio is demanded when out of stock. Reorder lead time is 2 weeks, and statistical studies have shownthat demand over the lead time is accurately described by a Poisson distribution. Find the optimallot sizes and reorder points for this item.
Consider a closed-loop supply chain subject to both finite product life cycle and limited component durability. The sales rate follows an isosceles trapezoid with T = 6 years, Q = 18000, and z = 2. The time interval between the sale of a product and its possible resale after being collected and remanufactured is 2 years. The maximum number of lives n is 2 for the product. Remanufactured and new items are perfect substitutes. Assume that Cman = 4, Creman = 1.5, Ccoll = 0.5, and Cdisp = 0.5. Calculate the average production cost difference ∆C (a) when the collection rate c is 1 and (b) when c is 0.5.
Vallie Enterprise sells a product that cost $200 per unit and has a monthly demand of 500 units. The annual holding cost per unit is calculated as 2% of the unit purchase price. It costs the business $30 to place a single order. The maximum number of units sold for any one week is 150 and minimum sales 80 units. The vendor takes anywhere from 2 to 4 weeks to deliver the merchandise after the order is placed. The EOQ model is appropriate. i) What is the cost minimizing solution for this product each year? ii) Determine the re-order level, minimum inventory level and maximum inventory level for the product.
You are a newsvendor selling the San Pedro Times every morning. Before you get to work, you go to the printer and buy the day’s paper for $0.25 a copy. You sell a copy of the San Pedro Times for $1.00. Daily demand is distributed normally with mean = 250 and standard deviation = 50. At the end of each morning, any leftover copies are worthless and they go to a recycle bin.a. How many copies of the San Pedro Times should you buy each morning?b. Based on part (a), what is the probability that you will run out of stock?
A manager receives a forecast for next year. Demand is projected to be 600 units for the first half of the year and 920 units for the second half. The monthly holding cost is $2 per unit, and it costs an estimated $55 to process an order. a.Assuming that monthly demand will be level during each of the six-month periods covered by the forecast (e.g., 100 per month for each of the first six months), determine an order size that will minimize the sum of ordering and carrying costs for each of the six-month periods. (Round your answers to the nearest whole number.) Period Order Size 1 – 6 months?_____units 7 – 12 months?_____units b.If the vendor is willing to offer a discount of $10 per order for ordering in multiples of 50 units (e.g., 50, 100, 150), would you advise the manager to take advantage of the offer in either period? If so, what order size would you recommend? (Round intermediate calculations to 2 decimal places.) Period Order Size 1 – 6 months?____ units 7 – 12 months?____…
A manager must set up inventory ordering systems for two new production items, P34 and P35.P34 can be ordered at any time, but P35 can be ordered only once every four weeks. The companyoperates 50 weeks a year, and the weekly usage rates for both items are normally distributed. Themanager has gathered the following information about the items.Item P34 Item P35Average weekly demand 60 units 70 unitsStandard deviation 4 units per week 5 units per weekUnit cost $15 $20Annual holding cost 30% 30%Ordering cost $70 $30Lead time 2 weeks 2 weeksAcceptable stockout risk 2.5% 2.5%a. When should the manager reorder each item?b. Compute the order quantity for P34.c. Compute the order quantity for P35 if 110 units are on hand at the time the order is placed.

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