Metro Trading owned a factory to produce the automobile parts and has the following inventory, carrying and storage costs: 1. Annual Sales is 300,000 units. 2. The carrying cost is 20% of the purchase price; 3. The purchase price is RM25 per unit; 4. The ordering cost is RMI,500 per order, 5. The desired safety stock level 8,000 units; 6. The delivery time is I week (7days). d) What is the average inventory level? e) How much does the total annual inventory cost? f) Prepare a graph to shows your order point determination.
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- The store wants to determine the Economic Order Size (EOQ) and Total Inventory Cost for this brand of carpet given an estimated annual demand of 10,000 yards of carpet, an annual carrying cost of P 37.50 per yard, and an ordering cost of P 7,500.00. The store would also like to know the number of orders that will be made annually and the time between orders (i.e., the order cycle), given that the store is open every day except 52 Sundays, Philippine Independence Day, New Year, and Christmas Day (which are assumed to fall not on Sundays) A. Using the computed optimal order size or EOQ, determine the optimum Total Cost. C. Determine the Order Cycle TimeThe sales of Whole Care mouthwash at Tom's of Maine over the past six months have averaged 2,000 cases per month, which is the current order quantity. Tom's of Maine's cost is $12.00 per case, and ordering cost is $38. The company estimates its cost of capital to be 12 percent. Insurance, taxes, breakage, handling, and pilferage are estimated to be approximately 6 percent of the item cost. Lead time is 3 days, and considering weekends and holidays, Tom's of Maine operates 250 days per year. Based on the above information please answer the following questions a) What is EOQ? b) What is the cost reduction? c) What is the reorder point? d) What is Time between Orders (TBO)?An organization manufactures supplies for landscaping companies which has an annual demand of 16,000. The cost of storing each unit is $2.5/year and $50 to make an order. Say the company has 300 days of annually, answer the following questions: a. What is the optimal order quantity? b. How many orders in a year? c. How many days between orders? d. How much is the total inventory cost?
- Problem 3: You're a buyer for fictional Quality Kitchen Appliances. Thestore has a demand for 1,000 toasters ovens per year. The cost of each toaster oven is US$78. The ordering cost is US$100 per order. The holding cost is 40% of the cost of the oven per unit per year.a What is the optimal Order Quantity?b How many orders will be placed per year?c What is the total annual cost (in US dollars)?d If the holding cost decreases to 30% of the unit cost of the oven, what effect will it have on EOQ and the totalannual cost?DOGGE Ltd has annual demand of 50,000 desks and the purchase price of each desk is K250. There are ordering costs of K200 for each order placed. Inventory holding costs amount to 10% per year of inventory value. Calculate the inventory costs p.a. for the following order quantities, and plot them on a graph: 500 units, 750 units, 1000 units, 1250 units b) Using the information in (a) above calculate i) Economic Order Quantity and the total inventory costs for this order quantity.A mail-order house uses 17,460 boxes a year. Carrying costs are 60 cents per box a year, and ordering costs are $96. The following price schedule applies. Number of Boxes Price per Box 1,000 to 1,999 $1.25 2,000 to 4,999 1.20 5,000 to 9,999 1.15 10,000 or more 1.10 a. Determine the optimal order quantity. b. Determine the number of orders per year.
- The annual demand, ordering cost, and the annual inventory carrying cost rate for a certain item are 600 units, Quantity 1 to 49 50 to 249 250 and up Price $5.00/unit $4.50/unit $ 4.10/unit $20/order and 30% of item price, respectively. (a) Assume the discounts applied to all the units in the order, what should the order quantity be in order to minimize the average annual cost? Also, show the minimal average annual cost. (b) Assume the discounts applied to the units are incremental, what should the order quantity be in order to minimize the average annual cost? Also, show the minimal average annual cost.A mail-order house uses 17,460 boxes a year. Carrying costs are 60 cents per box a year, and ordering costs are $96. The following price schedule applies. Number of Boxes Price per Box 1,000 to 1,999 $1.25 2,000 to 4,999 1.20 5,000 to 9,999 1.15 10,000 or more 1.10 a. Determine the optimal order quantity. (Round your answer to the nearest whole number.) Optimal order quantity __________ boxes b. Determine the number of orders per year. (Round your answer to 2 decimal places.) Number of order _____________ per yearFor a specific farm implement ‘FI’ is to be ordered by a food processing company, following data is available: Monthly Demand= 800 units Purchase cost/unit = $40/unit Ordering costs= $60/ order Holding costs (Ch) = $12/unit/year, fire insurance = 6% of the unit cost, 2% other overheads. Determine optimal order quantity of ‘FI’ items and how frequently the order should be placed?
- Skinnerís Fish Market buys fresh Boston bluefish daily for $5.60 per pound and sells it for $9.80 per pound. At the end of each business day, any remaining bluefish is sold to a producer of cat food for $3.80 per pound. Daily demand can be approximated by a normal distribution with a mean of 105 pounds and a standard deviation of 24 pounds. 1. What inventory model should be used to determine the order quantity to maximize the total expected proÖt? Why? 2. What is the service level under the optimal order quantity? 3. How much fresh Boston blueÖsh should Skinnerís Fish Market order so as to maximize the total expected proÖt?Saga ltd. produces electronic toys for children between the ages of 7-10 years old. The toys use a processor that is imported from Japan. Annual demand for the processor is 12,500. The holding cost per processor per year is $2. Ordering cost per order is $400. Lead time is 7 days and the number of working days in the year is 250. a. What is the economic order quantity? b. What is the optimal number of orders per year? c. Calculate the annual holding cost if the economic order quantity is used. d. What is the optimal number of days between any two orders? e. What is the reorder point? f. Given the EOQ, what is the total annual inventory cost?A clothing manufacturing company requires raw materials for 8 consecutive weeks as follows: 30, 40, 50, 35, 60, 30, 40, and 30 units with a one-time order cost of $50,000 and a storage fee of $500 per unit/week. From these data calculate the total cost of procurement using:a. Lot For Lot (LFL) Methodb. Economic Order Quantity (EOQ) Methodc. Period Order Quantity (POQ) Method Using this table format: Week 1 2 3 4 5 6 7 8 Gross requirements Schedule receipts Projected on hand Net requirements Planned order receipts Planned order releases