The annual demand for an item is 10,000 units. The cost to process an order is $75 and the annual inventory holding cost is 20% of itemcost.Quantity1-910 - 9991,000 - 4,9995,000 or morePrice$2.95 per unit$2.50 per unit$2.30 per unit$1.85 per unita. What is the optimal order quantity, given the following price breaks for purchasing the item? [Select]b. What price should the firm pay per unit? $ [Select]c. What is the total annual cost at the optimal behavior? $ [Select]d. What is the holding cost based on the optimal behavior? $ [Select ]

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Answered: a. What is the optimal order quantity,…

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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21 Which of the following is an assumption of the basic fixed-order-quantity inventory model? Select one: a. Stock-out costs are high. b. Lead times are averaged. c. Price per unit of product is constant. d. Ordering costs are variable. e. Back-orders are allowed.
You are in the process of deciding the optimal order quantity of shampoo packs for a hotel. The supplier charges you $47 per order and your stockroom costs approximately $0.69 per shampoo pack per year to store the product. Based on prior research, you were able to determine that the hotel goes through approximately 94 shampoo packs per day. They hold 0 safety stock. The supplier is willing to give the following quantity discounts for the product. Using the order quantity that will minimize total cost, what is the total annual cost? Quantity 1 - 1499 $2.25 $2.10 $2.05 $2.03 Note: Round your answer to 2 decimal places. Do NOT include $ sign or a comma. For example, answer like 50246 and NOT $50,246 Answer: 1500 - 3999 4000 - 7999 8000+ Price Check
A manufacturer procures a subassembly from a supplier. The annual demand is 145,000 units, the cost per unit is $4, the inventory-carrying charge is 12 percent, and the order cost is $225. For orders between 10,000 but less than 30,000, a five percent discount is applied, and for orders exceeding 30,000, a eight percent discount is applied. What is the optimal order quantity? Use the Quantity Discount Excel template to find your answer.
As with other products, Fisher-Price faces the decision of how many Weather Teddy units to order for the comingholiday season. Members of the management team suggested order quantities of 15,000, 18,000, 24,000, or28,000 units. The wide range of order quantities suggested indicates considerable disagreement concerning themarket potential. The product management team asks you for an analysis of the stock-out probabilities forvarious order quantities, an estimate of the profit potential, and to help make an order quantity recommendation.Fisher-Price expects to sell Weather Teddy for $24 based on a cost of $16 per unit. If inventory remains afterthe holiday season, Fisher-Price will sell all surplus inventory for $5 per unit. After reviewing the sales historyof similar products, Fisher-Price’s senior sales forecaster predicted an expected demand of 20,000 units with a.95 probability that demand would be between 10,000 units and 30,000 units. Question: One of Fisher-Price’s managers felt…
Birka Styles & Co is introducing a new line of beachwear for their retail stores. The manager needs to decide how many lots of the new beachwear to order for their stores. The marketing came up with a payoff table (see below) considering information about the price, projected sales level, and cost of inventory and ordering. DEMAND Order size Low Medium High 1 lot 12,000 15,000 15,000 2 lots 9,000 25,000 35,000 3 lots 6,000 35,000 60,000 The owner found out that: P(Low demand) = 1/3; P(Med demand) = 1/2; P(High demand) = 1/6. Which of the following decision is NOT true? A)The best decision is to order 3 lots for a payoff of $29,500. The probabilities gave me enough information to perform a Laplace approach. B)The best decision is to order 3 lots for a payoff of $29,500. The probabilities gave me enough information to perform the EMV approach. C)The EVPI is $2,000. D)The EVwPI is $31,500.
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Items purchased from a vendor cost $250 each, and the forecast for next year’s demand is 2,000 units. The optimal order size is 100. The firm operates 52 weeks next year and lead time is 3 weeks. It costs $5 every time an order is placed for more units, and the storage cost is $2 per unit per year. What is the number of orders per year? a.35 b.20 c.22 d.25 e.5
A mail-order house uses 16,870 boxes a year. Carrying costs are 60 cents per box a year, and ordering costs are $96. The following price schedule applies. Number of BoxesPrice per Box1,000 to 1,999$1.25 2,000 to 4,9991.20 5,000 to 9,9991.15 10,000 or more1.10 a.Determine the optimal order quantity. (Round your answer to the nearest whole number.) Optimal order quantity5000 boxes b.Determine the number of orders per year. (Round your answer to 2 decimal places.) Number of order per year

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a. What is the optimal order quantity, given the following price breaks for purchasing the item? [Select] b. What price should the firm pay per unit? $ [Select] c. What is the total annual cost at the optimal behavior? $ [Select]