D7 A logistics company applies the EOQ model to manage its inventory of spare partsused for maintenance work for their trucks. Daily demand is normally distributed.The average daily demand is 10 units, with a standard deviation of 5 units. The EOQis found to be 400 units and used as the order size for all orders. Order lead time is 4days.Currently, the firm has just received an order. In how many days do they need toplace the next order?4 days36 days40 daysNone of the above. Demand is random, so the time until they reach the ROPagain is also random

EOQ is an ordering technique under which a company orders a determined amount oif units and gets to…

Answered: A logistics company applies the EOQ…

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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Assume the demand for a companys drug Wozac during the current year is 50,000, and assume demand will grow at 5% a year. If the company builds a plant that can produce x units of Wozac per year, it will cost 16x. Each unit of Wozac is sold for 3. Each unit of Wozac produced incurs a variable production cost of 0.20. It costs 0.40 per year to operate a unit of capacity. Determine how large a Wozac plant the company should build to maximize its expected profit over the next 10 years.
A retailer uses the order-up-to model to manage inventory of an item in a store. The leadtime for replenishments is four weeks and it can place orders weekly. Weekly demand isPoisson with mean 0.10 unit. Its order-up-to level is five and unfilled demand is backordered. What is the coefficient of variation of its orders?
A company is using a continuous review system for its inventory. Due to the contracts made with the customers, the weekly demand is constantly 40 units. The average lead time of orders is 2 weeks and the standard deviation of lead time is 1 week. The current service level is 95%. In order to reduce inventory holding costs, the company wants to reduce its reorder point. To achieve this, there are two options that have approximately the same cost for the company: reduce the standard deviation of lead time to 0.5 weeks or reduce the service level to 90%. A) Which option is more advantageous for the company? B) How much reduction does this option bring in the reorder point as opposed to the current situation? Show your calculations
Daily demand of a chemical at an oil refinery is normally distributed with a mean of 60 litres and a standard deviation of 7. The supplier reliably delivers the chemical by maintaining a constant lead time of 1 week. There are no delivery charges from the supplier. Sales occur throughout the year. An order placement requires one hour of an administrative employee who is paid $20 per hour. Receiving and storing a chemical shipment requires two workers to work for half an hour. Workers are paid $12 per hour each. Chemical’s purchase price is $500 per litre. Annual cost of capital is 5%. Other holding costs are estimated to be $0.5 per litre. Find the order quantity and the reorder point to satisfy a 95% service level during the lead time. (Round answers to 2 decimal places.)
Ray wishes to determine the optimal order quantity for its best-selling bike in his bike store. Ray pays the supplier a wholesale price of $118 each for this bike. Ray has estimated the average daily demand for this bike is 23 units. The store opens 304 days a year. The cost to carry one bike in the store for a whole year is 8% of the unit bike cost. Ray has estimated that, on average, the order processing cost, i.e., ordering cost, with the bike supplier each time is $152, and it roughly takes 20 working days to receive the order from the supplier. Ray wishes to avoid the stock-out situation with a probability of 95%, and this requires Ray to carry a safety stock of 30 bikes in the store. What is the optimal order quantity (EOQ value) that Ray should order each time from the bike supplier to minimize his long-run inventory cost?
E - Max uses the basic EOQ model to determine the order quantity . They used to buy electronics from a Korean supplier in Dubai with a lead - time of 5 days . Recently , the supplier has decided to close the warehouse in Dubai and deliver all items from Korea directly to customers in Oman with a lead time of 10 days . Under this situation , the economic order quantity will (Q^ * ) 1)double 2)None of these 3)increase , but not double 4)decrease by a factor of two 5)do remain the same
The materials manager of a tire manfacturer must predict periodically place order for a key chemical one of the raw materials used in manufacturing uses the chemical at a rate of 300lbs each week and the lead time of delivery is 4 days. Assume that the manufacturing operation runs 5 days a week. At what point should the chemical be reorderedd a. when 1200lbs are remaining b. where 0lbs are remaining c. where 375lbs are remaining d. when 240lbs are rem
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.
Acta Metals manufactures safes of different sizes and models. One of the models has a demand of 20,000 safes/year. The company can produce at a rate of 4,000 safes a month and it cost $30 to initiate each production run. The actual production cost for each safe is $5.37 and the holding of each unit could be charged a nominal annual interest rate of 15%, if it were to be invested elsewhere. Determine the optimal batch size and the cycle time Determine the maximum on-hand inventory and the average annual holding and setup cost, Determine the production uptime and downtime.
A newsvendor pays $.30 for each paper and sells each paper for $.50. From past data ,it shows the average demand of 90 papers with standard deviation of 10 papers and demand follows the normal distribution. So, how much newspaper should he stock?
At Dot Com, a large retailer of popular books, demand is constant at 32,000 books per year. The cost of placing an order to replenish stock is $10, and the annual cost of holding is $4 per book. Stock is received 5 working days after an order has been placed. No backordering is allowed. Assume 300 working days a year.a. What is Dot Com’s optimal order quantity?b. What is the optimal number of orders per year?c. What is the optimal interval (in working days) between orders?d. What is demand during the lead time?e. What is the reorder point?f. What is the inventory position immediately after an order has been placed?
COMPUTING REORDER POINTS (ROP) FOR IPHONES WITH AND WITHOUT SAFETY STOCKAn Apple store has a demand (D) for 8,000 iPhones per year. The firm operates a 250-day working year.On average, delivery of an order takes 3 working days, but has been known to take as long as 4 days. Thestore wants to calculate the reorder point without a safety stock and then with a one-day safety stock.APPROACH c First compute the daily demand and then apply Equation (12-6) for the ROP.Then compute the ROP with safety stock.

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