A mail-order house uses 15,480 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.
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- A firm sells 2,800 units of an item each year. The carrying cost per unit is $3.26 and the fixed costs per order are $74. What is the economic order quantity? (Please round units to the nearest whole number) solve thisDiagnostic 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 unitsThe 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 ordering cost for a certain product is $8 per order and the holding cost is $1 per year. The annual demand is 2400 units. Consider the following ordering plans: plan 1: Order all 2400 at one time plan 2: Order 400 once each quarter plan 3: Order 100 once each month Determine: (a) Calculate the annual total costs associated with each plan (plan 1, 2 and 3), and compare the costs (total cost, holding costs and ordering cost). (b) Is there another plan, cheaper than any of these? Calculate the total cost of the cheaper or optimal plan; and for the optimal plan determine how many times in a year an order needs to be in place. (c) In the basic EOQ model, if the cost of placing an order doubles, and all other values remain constant, will the new EOQ increase or decrease then by what percentage.Items purchased from a vendor cost $20 each, and the forecast for next year’s demand is 1,000 units. If it costs $5 every time an order is placed for more units and the storage cost is $4 per unit per year, a. What quantity should be ordered each time? b. What is the total ordering cost for a year? c. What is the total storage cost for a year?A hardware store sells paint that has a demand of 9,706 gallons per year. The store purchases the paint from a supplier for 11.2 dollars per gallon The unit holding cost per year is 24 percent of the unit purchase cost. while the ordering cost is 175 dollars per order. The paint supplier has a lead time of 10 days. What is the annual ordering cost if the store uses the order quantity of 2,103 gallons per order? Assume EOQ model is appropriate. Use at least 4 decimal places.
- Suppose Big Box Office Supply (BBOS) purchases 100,000 office chairs every year. Ordering costs are $95.00 per order and carrying costs are $4.95 per chair. What is BBOS’s total inventory cost per year, including both carrying costs and ordering costs, if BBOS orders the EOQ of office chairs?A company wishes to establish an EOQ for an item for which the annual demandis $800,000, the ordering cost is $32, and the cost of carrying inventory is 20%.Calculate the following:a. The EOQ in dollars.b. Number of orders per year.c. Cost of ordering, cost of carrying inventory, and total cost.d. How do the costs of carrying inventory compare with the costs of ordering?Suppose Stanley's Office Supply purchases 50,000 boxes of pens every year. Ordering costs are $100 per order, carrying costs are 5% of the inventory value, and the price is of $2.00 per box. The vendor now offers a quantity discount of 1% per box if the company buys pens in order sizes of 20,000 boxes. Should the company accept the quantity discount? Show your calculations to justify your decision.