A company has an annual demand for 2,400 units of inventory. The cost of placing an order is $100 each time, and the cost to store each item of inventory is $3 per year. Calculate the optimal order quantity.
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- Sterling Corporation has an EOQ of 5,000 units. The company uses an average of 500 units per day. An order to replenish the part requires a lead time of five days. Required: 1. Calculate the reorder point, using Equation 20.3. 2. Graphically display the reorder point, where the vertical axis is inventory (units) and the horizontal axis is time (days). Show two replenishments, beginning at time zero with the economic order quantity in inventory. 3. What if the average usage per day of the part is 500 units but a daily maximum usage of 575 units is possible? What is the reorder point when this demand uncertainty exists?Pietro expects to produce 50,000 units and sell 49,300 units. Beginning inventory of finished goods is 42,500, and ending inventory of finished goods is expected to be 34,000. Required: 1. Prepare a statement of cost of goods sold in good form. 2. What if the beginning inventory of finished goods decreased by 5,000? What would be the effect on the cost of goods sold?Ottis, Inc., uses 640,000 plastic housing units each year in its production of paper shredders. The cost of placing an order is 30. The cost of holding one unit of inventory for one year is 15.00. Currently, Ottis places 160 orders of 4,000 plastic housing units per year. Required: 1. Compute the economic order quantity. 2. Compute the ordering, carrying, and total costs for the EOQ. 3. How much money does using the EOQ policy save the company over the policy of purchasing 4,000 plastic housing units per order?
- The annual demand for an item is 20,000 units. The cost to process an order is $25 and the annual inventory holding cost is $4 per item per year. Given the following price-quantity breaks for purchasing the item: Quantity Price 1-1,999 $2.50 per unit 2,000 or more $2.40 per unit What is the quantity you will order each time? Please provide detailed calculation of the total cost (including inventory cost and purchasing cost) for each quantity discount scenario.The purchase price of an item of inventory is $25 per unit. In each three month period the usage of the item is 20,000 units. The annual holding costs associated with one unit equate to 6% of its purchase price. The cost of placing an order for the item is $20. What is the Economic Order Quantity (EOQ) for the inventory item to the nearest whole unit?TS Co has daily demand for ball bearings of 40 a day for each of the 250 working days (50 weeks) of the year. The ball bearings are purchased from a local supplier for $2 each. The cost of placing an order is $64 per order, regardless of the size of the order. The inventory holding costs, expressed as a percentage of inventory purchase price, is 25% per annum. What is the economic order quantity?
- Diagnostic Supplies has expected sales of 98,000 units per year, carrying costs of $5 per unit, and an ordering cost of $8 per order. a. What is the economic ordering quantity? Economic ordering quantity b-1. What is the average inventory? Average inventory b-2. What is the total carrying cost? Total carrying cost units unitsAn SKU has an annual demand of 10,000 units, each costing $15, ordering costs are$80 per order, and the cost of carrying inventory is 25%. Calculate the EOQ in unitsand then convert to dollars.The company uses 1,500 units of an item per year. The cost of carrying the item in inventory is $180 per unit per year, and the cost of ordering the item is $120 per order. The firm uses the item at a constant rate. a. What is the Economic Order Quantity (EOQ)? b. Using the data from above, assume that the company operates 300 days per year, and its total usage is 1,500 units per year. The lead time is 3 days, and the company wants to maintain a safety stock of 5 units. What is the reorder point?
- For a certain item, the cost-minimizing order quantity obtained with the basic EOQ model is 200 units, and the total annual inventory (carrying and setup) cost is $600. What is the inventory carrying cost per unit per year for this item?Quick-Copy Duplicating Company uses 110,000 reams of standard-size paper a year at its various duplicating centers. Its current paper supplier charges $2.00 per ream. Annual inventory carrying costs are 15 percent of inventory value. The costs of placing and receiving an order of paper are $41.25. Assuming that inventory replenishment occurs virtually instantaneously, determine the following: a. The firm's EOQ b. The total annual inventory costs of this policy c. The optimal ordering frequency d. Compute and plot ordering costs, carrying costs, and total inventory costs for order quantities of 2,000, 4,000, 5,000, 5,500, 6,000, 7,000, and 9,000 reams. Connect the points on each function with a smooth curve, and determine the EOQ from the graph (and the table used in constructing the graph).What is the economic order quantity
