Henderson Furniture sells reproductions of 18th-century furniture. For a particular table, the assumptions of the inventory model with backorders are valid.Annual Demand: D = 200 tables per yearInventory holding cost (as a percent of the item cost): 1 = 25% per yearItem cost: C = $800 per tableOrdering cost: Co = $80 per orderBackordering cost: Cb = $50 per table per yearThe store is open 250 days a year.What is the economic order quantity that will minimize the total cost? Results are expected to be rounded to the nearest whole number.○ A. 28B. 5○ C. 13OD. 23E. 14QUESTION 4What is the backorder quantity that will minimize the total cost? Results are expected to be rounded to the nearest whole number.○ A. 14B. 23C. 13OD. 28○ E. 5

Given information is:Annual Demand(D): 200 tablesInventory Holding Cost per year(H): 25% of Item…

Answered: Henderson Furniture sells reproductions…

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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I run a Ford car dealership, and I experience known and constant demand for cars. I sell 10,000 cars annually. The cost of ordering is $819, and the annual cost of holding a car on the lot is $500. What is the economic ordering quantity (EOQ)? Round to the nearest whole number (so if your answer is 443.363, round to 443)
Suppose demand is know and constant at 500 units per year (one year has 250 working days). The holding cost is $2 per unit per year and the ordering cost is $20 per order. Also assume that the lead time is 10 days. Compute the optimal order quantity (EOQ) and the optimal annual inventory cost. Draw a picture of the evolution of the inventory level with time. Indicate the ROP on the picture as well as the length of the cycle. Now assume that the lead time is 90 days. Indicate the ROP on the picture.
Cheryl Druehl has asked you to help her determinethe best ordering policy for a new product. The demand for thenew product has been forecasted to be about I ,000 units annually.To help you get a handle on the carrying and ordering costs,Cheryl has given you the list of last year's costs. She thought thatthese costs might be appropriate for the new product. She also told you that these data were compiled for 10,000 inventoryitems that were carried or held during the year. You havealso determined that 200 orders were placed last year. Your job as a new opera tions management graduate is to help Cheryl determinethe economic order quantity for the new product.
ABC Corporation resells one type of candle. It has 250 working days. Each day, it sells an average of 500 boxes but maysometimes sell a maximum of 600 boxes. The supplier takes an average of 5 days to deliver the order. During busier times, thesupplier may take 7 days.Based on ABC’s records, ordering cost average P400 per order. Storage cost per box average P5 per year. There is also anopportunity cost of 1% per year for every peso invested in inventories. Each box of candles costs P450. If ABC would continue its current inventory management policy, it would keep 10,000 boxes as safety stock and order ten-days-worth of inventory. (B) Economic Order Quantity 1. How much would the total inventory related (ordering plus carrying) costs be if the economic order quantity wasfollowed (excluding safety stock)? (D) Cost-Benefit Analysis: If ABC maintains its current inventory policy for the year,1. How much would the entity save it followed the reorder point and economic order quantity models?…
3. Skinner’s Fish Market buys fresh Boston bluefish daily for $4.20 per pound and sells it for $6 per pound. At the end of each business day, any remaining bluefish is sold to a producer of cat food for $3 per pound. Daily demand can be approximated by a normal distribution with a mean of 64 pounds and a standard deviation of 11 pounds. What is the optimal order quantity (stocking level)? Round your answer to 2 decimal places. Answer:_______
Using the fixed-order-quantity model, which of the following is the total ordering cost of inventory given an annual demand of 25,000 units, a cost per order of $80, and a holding cost per unit per year of $16?
I run a Ford car dealership, and I experience known and constant demand for cars. I sell 10,000 cars annually. The cost of ordering is $1,108, and the annual cost of holding a car on the lot is $500. What is the economic ordering quantity (EOQ)? Round to the nearest whole number (so if your answer is 443.363, round to 443)
Among the following multi-period inventory models, which one has the highest probability of stockout? A. Fixed Order Quantity with Safety Stock B. Fixed Time Period Model C. Fixed Order Quantity D. Both Fixed Order Quantity & Fixed Order Quantity with Safety Stock
Thomas Kratzer is the purchasing manager for the headquarters of a large insurance company chain with a central inventory operation. Thomas's fastest-moving inventory item has a demand of 5,900 units per year. The cost of each unit is $101, and the inventory carrying cost is $11 per unit per year. The average ordering cost is $31 per order. It takes about 5 days for an order to arrive, and the demand for 1 week is 118 units. (This is a corporate operation, and there are 250 working days per year). a) What is the EOQ? units (round your response to two decimal places). b) What is the average inventory if the EOQ is used? c) What is the optimal number of orders per year? d) What is the optimal number of days in between any two orders? decimal places). units (round your response to two decimal places). orders (round your response to two decimal places). days (round your response to two e) What is the annual cost of ordering and holding inventory? $ decimal places). per year (round your…
A health and nutrition store stocks a multivitamin with an annual demand of 1,000 bottles has Co = $26.50 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 6% 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.):________
A company uses a special widget (SP) in its production process. The company uses 100 SP units per month in a fairly uniform production process. Each SP unit costs R30. Due to the stringent controls associated with the ordering of the widget the order cost is R300 per order. The widget requires special handling and refrigeration and the cost of holding inventory is estimated to be R200 per unit year. Which order size would you recommend that the company use? Suppose the supplier of the special widget offers the company a reduced purchase price of R29/widget, but they need to order 100 or more at a time. Would you recommend that the company accept this offer? Annual demand Inventory carrying cost Order cost Purchase price 1200 widgets (100 x 12) R200/widget R300/order R30/widget
Peter operates an ice cream shop and needs to order milk from a dairy supplier. The average daily milk consumption is 9 gallons, and the standard deviation is 2 gallons. The delivery time is 3 days on average, with a standard deviation = 1 day. Peter can place an order at any time, and he decides the order quantity = 100 gallons. What is the reorder point if he wants to keep the 95% service level?

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