A company stocks an item at 0.5 pesos per item per day. The item is consumed at the rate of 150 items per day. Setting up an order costs 75 pesos. Suppose shortage is not allowed. (a) What is the optimal inventory policy? What is the total inventory cost incurred by the company with this policy? (b) How much will the company save with this new policy if the original policy of the company is ordering 150 items per day? (c) If there is a 5-day lead time between placing and arrival of orders, what will be the optimal inventory policy?

A company stocks an item at 0.5 pesos per item per day. The item is consumed at the rate of 150 items per day. Setting up an order costs 75 pesos. Suppose shortage is not allowed. (a) What is the optimal inventory policy? What is the total inventory cost incurred by the company with this policy? (b) How much will the company save with this new policy if the original policy of the company is ordering 150 items per day? (c) If there is a 5-day lead time between placing and arrival of orders, what will be the optimal inventory policy?

Purchasing and Supply Chain Management

6th Edition

ISBN:9781285869681

Author:Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. Patterson

Publisher:Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. Patterson

Chapter16: Lean Supply Chain Management

Section: Chapter Questions

Problem 10DQ: The chapter presented various approaches for the control of inventory investment. Discuss three...

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The chapter presented various approaches for the control of inventory investment. Discuss three additional approaches not included that might involve supply chain managers.
I need a detailed explanation on how to solve this problem: A paint shop implements an inventory policy on its stock of white paint, which costs the store $6 per can. Monthly demand for cans of white paint is normal with mean 28 and standard deviation 8. The replenishment lead time is 14 weeks. Excess demand is backordered, but costs $10 per back ordered can in labor and loss of goodwill. There is a fixed cost of $15 per order, and the holding cost is based on 30% interest rate per annum. In your computations, assume 4 weeks per month. - Write down the model name and parameters. - What are the optimal lot size and reorder points for white paint (include the formulas)? - What is the optimal safety stock (include the formula)? *** Suppose the paint shop from the above problem adopts a service level policy. - What are the optimal lot size and reorder points for white paint, such that 90% of the cycles are filled without backordering (include all formulas)? - What is the fill rate…
You are in charge of inventory control of a highly successful product retailed by your firm. Weekly demand for this item varies, with an average of 350 units and a standard deviation of 15 units. It is purchased from a wholesaler at a cost of $25.00 per unit. The supply lead time is 7 weeks. Placing an order costs $55.00, and the inventory carrying rate per year is 15 percent of the item's cost. Your firm operates 6 days per week, 50 weeks per year. Refer to the standard normal table The table below shows the total area under the normal curve for a point that is Z standard deviations to the right of the mean. Z 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.0 0.5000 0.5040 0.5080 0.5120 0.5160 0.5199 0.5239 0.5279 0.5319 0.5359 0.1 0.5398 0.5438 0.5478 0.5517 0.5557 0.5596 0.5636 0.5675 0.5714 0.5754 0.2 0.5793 0.5832 0.5871 0.5910 0.5948 0.5987 0.6026 0.6064 0.6103 0.6141…
Suppose the demand of a product in a retail store is 800 per year and it occurs at a constant rate. Placement of an order of this product to an outside supplier by the store is 40 Dollar. The super market authority has calculated the inventory holding cost per unit per year as 90 cents. Assuming no occurrence of shortages of the product, find i. the minimal number of orders per year. Explain whether the nearest integer number of orders per year is justified. Please answer this part with the explanation part asked in the question.
MAY I ASK FOR THE SOLUTIONS AND ANSWERS OF NOS. 12 to 17 (kindly refer to the table) Thank you! ABC Corporation resells one type of candle. It has 250 working days. Each day, it sells an average of 500 boxes but may sometimes sell a maximum of 600 boxes. The supplier takes an average of 5 days to deliver the order. During busier times, the supplier 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 an opportunity 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 tendays-worth of inventory. (A) Reorder Point 1. What should be the reorder point in boxes? 2. How much would the normal lead time usage be? 3. How much should ABC keep as safety stock? (B) Economic Order Quantity 4. What is the annual demand for the boxes of candles? 5. How much is the…
Annual demand for a product is 13,000 units; weekly demand is 250 units with a standard deviation of 40 units. The cost of placing an order is $100, and the time from ordering to receipt is four weeks. The annual inventory carrying cost is $0.65 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 100 units. If this is done, what will the new service probability be?
The manager of an auto parts store is reviewing the inventory policy for one of their fastest selling products — car batteries. The store sells an average of 40 car batteries every week. The cost to hold one battery in inventory for a year is $15. The ordering cost per order is estimated at $50. The store operates all 52 weeks in a year.Use the information in Scenario 9.5. If the manager decides to order at the economic order quantity, what is the sum of the annual ordering cost and holding cost? Group of answer choices greater than $1800 but less than or equal to $2100
A retail outlet sells a seasonal product for $10 per unit. The cost of the product is $8 per unit. All units not sold during the regular season for half the retail price in an end-of-season clearance sale. Assume that the demand for the product is uniformly distributed between 200 and 800. a. What is the recommended ordering quantity? b. What is the probability of a stockout using your order quantity in (a)? c. To keep customers happy and returning to the store later, the owner feels that stockouts should be avoided if at all possible. What is your recommended order quantity if the owner is willing to tolerate a 0.15 probability of stockout? d. Using your answer to (c), what is the goodwill cost you are assigning to a stockout?
ABC Corporation resells one type of candle. It has 250 working days. Each day, it sells an average of 500 boxes but may sometimes sell a maximum of 600 boxes. The supplier takes an average of 5 days to deliver the order. During busier times, the supplier 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 an opportunity 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 tendays-worth of inventory. (C) Reorder Point and Economic Order Quantity19. What would the average number of boxes be if the safety stock from Part A was kept and the EOQ from Part Bwas followed? Round off to two decimal places.20. How much would the carrying cost for the year be based on item 19?21. How much would the total inventory related (ordering plus carrying) costs be if the…
ABC Corporation resells one type of candle. It has 250 working days. Each day, it sells an average of 500 boxes but may sometimes sell a maximum of 600 boxes. The supplier takes an average of 5 days to deliver the order. During busier times, the supplier 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 an opportunity 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. (A) Reorder Point1. What should be the reorder point in boxes?2. How much would the normal lead time usage be?3. How much should ABC keep as safety stock?(B) Economic Order Quantity4. What is the annual demand for the boxes of candles?5. How much is the carrying cost of one box of candles for one year?6. What is the economic order quantity for the boxes of…
ABC Corporation resells one type of candle. It has 250 working days. Each day, it sells an average of 500 boxes but may sometimes sell a maximum of 600 boxes. The supplier takes an average of 5 days to deliver the order. During busier times, the supplier 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 an opportunity 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 tendays-worth of inventory. (A) Reorder Point 1. What should be the reorder point in boxes? 2. How much would the normal lead time usage be? 3. How much should ABC keep as safety stock? (B) Economic Order Quantity 4. What is the annual demand for the boxes of candles? 5. How much is the carrying cost of one box of candles for one year? 6. What is the economic order quantity for the…
A building materials stockist obtains its cement from a single supplier. Demandfor cement is reasonably constant throughout the year. Last year the company sold 2 000tonnes of cement. It estimates the costs of placing an order at around 25 MU each timean order is placed and charges inventory holding at 20% of purchase cost. The companypurchases cement at 60 MU per tonne.a) How much cement should the company order at a time?b) Instead of ordering EOQ, why not a order convenient 100 tonnes? Please mention formulas and do it in detail so I can understand.