Item X is a standard item stocked in a company's inventory of component parts. Each year the firm,on a random basis, uses about 1,500 of item X, which costs $25 each. Storage costs, which includeinsurance and cost of capital, amount to $5 per unit of average inventory. Every time an order isplaced for more of item X, it costs S6.a. Whenever item X is ordered, what should the order size be? (Round your answer to the nearestwhole number.)b. What is the annual cost for ordering item X? (Round your answer to 2 decimal places. Round yourintermediate calculation.)c. What is the annual cost for storing item X? (Round your answer to 2 decimal places. Round yourintermediate calculation.)

Order size is the optimal order quantity that the company need to purchase so that their annual…

Answered: Item X is a standard item stocked in a…

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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Dave’s local college football team is playing for the national championship in next month’s bowl game, and he’s thinking about having “We’re number one” T-shirts imprinted in honor of the team. It’s too late to get the shirts before game day, but if he orders today, he can get them within a few days after the game. The shirts must be ordered in multiples of 1000, and Dave has estimated the amount of profit he will make for possible outcomes of the game. Given the following payoff table, what will Dave do if he uses the maximin criterion? The maximax criterion? The minimax regret criterion? Order no shirts $0 wins $0 loses $0 ties Order 1000 shirts $800 wins $-200 loses $200 ties Order 2000 shirts $1600 wins $-400 loses $300 ties
A daily newspaper is stocked by a coffee shop so its patrons can purchase and read it while they drink coffee. The newspaper costs $1.14 per unit and sells for $1.55 per unit. If units are unsold at the end of the day, the supplier takes them back at a rebate of $1 per unit. Assume that daily demand is approximately normally distributed with µ = 150 and σ = 30. (a) What is your recommended daily order quantity for the coffee shop? (Round your answer to the nearest integer.) (b) What is the probability that the coffee shop will sell all the units it orders? (Round your answer to four decimal places.) (c) In problems such as these, why would the supplier offer a rebate as high as $1? For example, why not offer a nominal rebate? Find the recommended order quantity at 25¢ per unit. (Round your answer to the nearest integer.) What happens to the coffee shop's order quantity as the rebate is reduced? The higher rebate ---Select--- ▾ the quantity that the coffee shop should order.
The demand for a particular part called SKU 005 is 1,500 units a year. The cost of one SKU 005 is $64.00. It costs $60.00 to place an order SKU 005, and the user of SKU 005 has a per year inventory carrying cost of 25% of unit cost. Assume that there are 250 working days in the year where SKU 005 is used. What is the combined annual holding and ordering cost of an order size of 200 units for SKU 005? OA. $2050 O B. $1360 O C. $1697 O D. $825 O E. $1200
A medical equipment has an average monthly demand is 134 units. Its unit cost is $385. It costs $486 to place an order, and the inventory carrying cost is $44 per unit per year. The equipment requires a 95% of service level with a safety stock requirement of 20 units. What is the equipment's minimum annual total inventory cost?
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?…
The demand for a particular part called SKU 005 is 1,500 units a year. The cost of one SKU 005 is $64.00. It costs $60.00 to place an order SKU 005, and the user of SKU 005 has a per year inventory carrying cost of 25% of unit cost. Assume that there are 250 working days in the year where SKU 005 is used. Once the purchasing manager for SKU 005 places an order, it always takes the vendor 5 working days to deliver that order. What should the purchasing manager’s reorder point be? ) A. 12 ОВ. 30 Ос. 36 O D. 24 O E. 5
The demand for a particular part called SKU 005 is 1,200 units a year. The cost of one SKU 005 is $40.00. It costs $60.00 to place an order SKU 005, and the user of SKU 005 has a per year inventory carrying cost of 25% of unit cost. Assume that there are 250 working days in the year where SKU 005 is used. Once the purchasing manager for SKU 005 places an order, it always takes the vendor 5 working days to deliver that order. What should the purchasing manager's reorder point be? O A. 24 O B. 36 O C. 30 O D. 5 O E. 12
A daily newspaper is stocked by a coffee shop so its patrons can purchase and read it while they drink coffee. The newspaper costs $1.17 per unit and sells for $1.75 per unit. If units are unsold at the end of the day, the supplier takes them back at a rebate of $1 per unit. Assume that daily demand is approximately normally distributed with μ = 150 and a = 30. (a) What is your recommended daily order quantity for the coffee shop? (Round your answer to the nearest integer.) (b) What is the probability that the coffee shop will sell all the units it orders? (Round your answer to four decimal places.) (c) In problems such as these, why would the supplier offer a rebate as high as $1? For example, why not offer a nominal rebate? Find the recommended order quantity at 25¢ per unit. (Round your answer to the nearest integer.) What happens to the coffee shop's order quantity as the rebate is reduced? The higher rebate ---Select-- the quantity that the coffee shop should order.
Palin’s Muffler Shop has one standard muffler that fits a large variety of cars. The shop wishes to establish a periodic review system to manage inventory of this standard muffler. Use the information in the following table to answer the below questions. Annual demand 3,000 mufflers Standard deviation of daily demand 6 mufflers per working day Item cost $30 per muffler Annual holding cost 25% of item value Review period 15 working days Ordering cost $50 per order Service probability 90% Lead time 2 working days Working days 300 per year What is the optimal target level (order-up-to level)? Note: Use Excel's NORM.S.INV() function to find the z value. Round z value to 2 decimal places and final answer to the nearest whole number. If the service probability requirement is 95 percent, the optimal target level will: multiple choice Increase Decrease Stay the same
With a normal demand and normal lead-time, increasing the order lead-time results in which of the following? Lower expected costs. Higher service levels. Higher stockout probability. All of the above.
Annual demand for a product is 11,960 units; weekly demand is 230 units with a standard deviation of 50 units. The cost of placing an order is $125, and the time from ordering to receipt is four weeks. The annual inventory carrying cost is $0.80 per unit. To provide a 98 percent service probability, what must the reorder point be? Suppose the production manager is told to reduce the safety stock of this item by 125 units. If this is done, what will the new service probability be?
Ross White’s machine shop uses 2500 brackets during the course of a year, and this usage is relatively constant throughout the year. These brackets are purchased from a supplier 100 miles away for $15 each, and the lead time is 2 days. The holding cost per bracket per year is $1.50 (or10% of the unit cost) and the ordering cost is $18.75. There are 250 working days per year. Upon hearing that Ross White is considering the producing the brackets in-house, the supplier has notified Ross that the purchase price would drop from $15 per bracket to $14.50 per bracket if Ross purchase the brackets in lots of 1000. After analyzing the cost of the various options for obtaining the brackets, Ross White recognizes that although he knows the lead time is 2 days, the average daily demand usually varies. Ross has kept careful records and has determined that the average daily demand is normally distributed with a standard deviation of 2.5 units. If Ross would like to maintain a service level of 90 %,…

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