The firm carries a safety stock of 30 wheels. What is the annual holding costs to carry the safety stock of 30 wheels?
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1.) A firm orders on average 400 wheels each month. Demand is
1g. The firm carries a safety stock of 30 wheels. What is the annual holding costs to carry the safety stock of 30 wheels?
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- The demand faced by CBA company each week is estimated to be normally distributed with a mean of 1000 units and a standard deviation of 250. Lead time of delivery is fixed at 2 weeks. Ordering cost is $800 per order, variable cost per unit ordered is $4, the inventory carrying charge is 20% per year. Assume 50 weeks per year. CBA would like the probability to satisfy customer demand be 95%. Find the (Q,R) policy. If the leadtime is 2 weeks and a standard deviation of 1 week. Find the (Q,R) policy. What is the impact of the weekly demand’s standard deviation on the (Q,R) policy?The manager of a large electronics store wants to begin stocking a universal TV remote control device. Expected daily demand is 25 units (250 working days a year). The remote controls can be purchased from either supplier A or supplier B. Their price lists are as follows: Supplier A Supplier B Quantity Unit price Quantity Unit price 1-199 $14 1-149 $14.1 200-499 $13.8 150-349 $13.9 500+ $13.6 350+ $13.7 Ordering cost is $40 per order and annual holding cost is 25 percent of unit price. Lead time for either supplier is 10 days. Which supplier should be chosen and what kind of inventory ordering policy should be adopted?A company stocks an item that is consumed at the rate of 30 units each day. Every time an order is placed for new supply, $ 120 must be paid. A unit inventory held in stock for one week will cost $ 0.14. What is the total annual cost if the order quantity is 200 more than EOQ? What is the optimum number of orders (rounded to the closest integer) that the company has to place each year? Assume that the company has a standing policy of not allowing shortages in demand.
- 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.A company incurs an ordering cost of $232 each time it places an order, regardless of the order size. The item's cost is $5, and the annual carrying charge for the item is 30%. If the annual demand for this item is 2,880 and the company's order quantity (Q) is 944, calculate its total annualized cost of inventory. The total annualized inventory costs are $.A department store uses a (Q, R) policy to control its inventories. Sales of a pocket FM radioaverage 1.4 radios per week. The radio costs the store $50.00, and fixed costs of replenishmentamount to $20.00. Holding costs are based on a 20 percent annual interest charge, and thestore manager estimates a $12.50 cost of lost profit and loss of goodwill if the radio is demanded when out of stock. Reorder lead time is 2 weeks, and statistical studies have shownthat demand over the lead time is accurately described by a Poisson distribution. Find the optimallot sizes and reorder points for this item.
- An automotive warehouse stocks a variety of parts that are sold at neighborhood stores. One particular part, a popular brand of oil filter, is purchased by the warehouse for $1.50 each. It is estimated that the cost of order processing and reciept is a $100 per order. The company uses an inventory carrying charge based on 28 percent annual interest rate. The monthly demand for the filters follows a normal distribution with mean 280 and a standard deviation 77. Order lead time is assumed to be 5 months. Assume that if a filter is demanded when the warehouse is out of stock, then the demand is back-ordered and the cost assessed for each back-ordered demand is $12.80. Determine the following quantities: a. The optimal values of the order quantity and the reorder level. b. The average annual cost of holding, setup, and stock-out associated with this item assuming that an optimal policy is used. c. Evaluate the cost of uncertanity for this process. That is, compare the average annual cost…The soft goods department for AMG sells 175 units per month of a certain large bath towel. The unit cost of a towel to the manufacturer is R2.50 and the cost of placing an order has been estimated to be R12.00. The organization uses an inventory carrying charge of 27% of the unit cost per year. Determine the optimal order quantity, the order frequency, and the annual holding and setup cost Item Annual Demand Unit Cost A211 800 R9 B390 100 R90 C003 450 R6 D100 400 R100 E707 85 R2000 F660 250 R320 G473 500 R75 H921 100 R75I 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…
- A Mercedes dealer purchases vehicles for $20,000. The annual holding cost is estimated to be 25% of the dollar value of inventory. The dealer sells an average of 500 cars per year. He believes that demand is backlogged, but estimates that if he is short one car for one year, he will lose $20,000 in future profits. Each time the dealer places an order for cars, the ordering cost amounts to $10,000. What is the (s, Q) ordering policy that results in a 90% CSL?A detergent manufacturer manages a plant for a major retail. The average monthly demand is 12,000 jugs of detergent. Each jug costs $(1.3) and is sold to the retailer at a wholesale price of $8. The manufacturer and the retailer use an annual holding cost of (29)%. For each order placed, the retailer incurs an ordering cost of $80. Manufacturer incurs the cost of transportation and loading which totals $2,000 per order shipped. a. To minimize its inventory-related costs, what lot size will be the best for the retailer? What is the annual inventory-related cost of the manufacturer and the retailer as a result of this policy? b. What lot size minimizes the inventory-related costs across both the manufacturer and the retailer? How much reduction in cost relative to (a) results from this policy? c. Design an all-unit quantity discount that results in the retailer ordering the quantity in (b).Nationwide Auto Parts uses a periodic review inventory control system for one of its stock items. The review interval is 6 weeks, and the lead time for receiving the materials ordered from its wholesaler is 3 weeks. Weekly demand is normally distributed, with a mean of 100 units and a standard deviation of 20 units.a. What is the average and the standard deviation of demand during the protection interval?b. What should be the target inventory level if the firm desires 97.5 percent stockout protection?c. If 350 units were in stock at the time of a periodic review, how many units should be ordered?