The soft goods department of a large department store sells 175 units per month of a certain large bath towel. The unit cost of a towel to the store is $2.50 and the cost of placing an order has been estimated to be $12.00. The store uses an inventory carrying charge of 1 = 27% per year. Determine (a) the optimal order quantity, (b) the order frequency, and (c) the annual holding and setup cost. If, through automation of the purchasing process, the ordering cost can be cut to $4.00, what will be (d) the new economic order quantity, (e) the order frequency, and (f) annual holding and setup costs?
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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.The soft goods department of a large department store sells 175 units per month of a certain large bath towel. The unit cost of a towel to the store is $2.50 and the cost of placing an order has been estimated to be $12.00. The store uses an inventory carrying charge of I = 27% per year. Determine (b) the order frequency,Palin’s Muffler Shop has one standard muffler that fits a large variety of cars. The shop wishes to establish a periodic review system to manage inventory of this standard muffler. Use the information in the following table to determine the optimal inventory target level (or order-up-to level). Annual demand 2,750 mufflers Ordering cost $ 35 per order Standard deviation of daily demand 6 mufflers per working day Service probability 76 % Item cost $ 28.00 per muffler Lead time 4 working days Annual holding cost 22 % of item value Working days 275 per year Review period 21 working days a. What is the optimal target level (order-up-to level)? If the service probability requirement is 93 percent, the optimal target level will: Increase Decrease Stay the same
- Golden Crust Bakery buys flour in 25-pound bags. The bakery uses an average of 1,215 bags a year. Preparing an order and receiving a shipment of flour involves a cost of $10 per order. Annual holding costs are $75 per bag. Once an order for flour is placed, it takes six (6) days to receive the order from the flour factory. The bakery operates 350 days per year. Calculate the following: Economic Order Quantity Expected number of orders (Order Frequency) Average inventory The annual holding cost The annual ordering cost The total annual cost of inventory management Reorder point If holding costs were to increase by $9 per year, how much would that affect the minimum total annual cost?A restaurant uses 5,000 quart bottles of ketchup each year. The ketchup costs $3.00 per bottle and is served only in whole bottles because its taste quickly deteriorates. The restaurant figures that it costs $10.00 each time an order is placed, and holding costs are 20 percent of the purchase price. It takes 3 weeks for an order to arrive. The restaurant operates 50 weeks per year. The restaurant would like to use an inventory system that minimizes inventory cost. The restaurant has figured that the most economical order size or EOQ is approx. 409 (rounding up the decimals). Suppose that things have become uncertain and that customer demand is no more constant. Customer demand is now normally distributed with mean being the same as given in the problem description and standard deviation = 30 units per week. The supply source is still very reliable and as a result the lead time is constant. Find out the safety stock needed to achieve 95% customer service level. O 55 65 075 85 None of…The owner and manager of a hardware store reevaluates his inventory policy for hammers. sells an average of 50 hammers a month, so you have placed purchase orders for 50 hammers with a distributor at a cost of $20 each at the end of each month. But the owner does not place all the store orders and find that this takes much of your time. He estimates that the value of his time spent ordering hammers is $75. a) What must be the unit cost of maintaining hammers for the current policy of the hardware store to be Optimal according to the EOQ model? b) If the distributor delivers an order for hammers in 5 business days (out of an average of 25 per month), what should be the reorder point, according to the EOQ model?
- A golf specialty wholesaler operates 50 weeks per year. Management is trying to determine an inventory policy for its 1-irons, which have the following characteristics: > Demand (D) = 2,000 units/year > Demand is normally distributed > Standard deviation of weekly demand = 2 units > Ordering cost = $30/order > Annual holding cost (H) = $5.00/unit > Desired cycle-service level = 85% > Lead time (L) = 4 weeks Refer to the standard normal table for z-values. a. If the company uses a periodic review system, P should be 3.87 weeks. (Enter your response rounded to the nearest whole number.) T should be units. (Enter your response rounded to the nearest whole number.)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?The Bucks Grande exhibition baseball team plays 50 weekseach year and uses an average of 350 baseballs per week.The team orders baseballs from Coopers-Town, Inc., aball manufacturer noted for six-sigma-level consistency andhigh product quality. The cost to order baseballs is $100 perorder and the annual holding cost per ball is 38 percent of thepurchase price. Coopers-Town’s price structure is:Order Quantity Price per Unit1–999 $7.501,000–4999 $7.255,000 or more $6.50a. How many baseballs should the team buy per order?b. What is the total annual cost associated with the bestorder quantity?c. Coopers-Town, Inc., discovers that, owing to specialmanufacturing processes required for the Buck’s base-balls, it has underestimated the setup time required on acapacity-constrained piece of machinery. Coopers-Townadds another category to the price structure to provide anincentive for larger orders and thereby hopes to reducethe number of setups required. If the…
- The amount of denim used daily by the Southwest ApparelCompany in its manufacturing process to make jeans isnormally distributed with an average of 4000 yards ofdenim and a standard deviation of 600 yards. The lead timerequired to receive an order of denim from the textile mill is a constant 7 days. Determine the safety stock and re-order point if the company wants to limit the probability of a stockout and work stoppage to 5%.Suppose the following item is being managed using a fixed-order quantity model with safety stock. Annual Demand = 100,000 units Order quantity = 30,000 units Safety stock = 4000 units What are the average inventory level and inventory turnover for this item?KVS Pharmacy stocks a popular brand of over the counter flu and cold medicine. The average demand for the medicine is six packages per day, with a standard deviation of 1.2 packages. A vendor for the pharmaceutical company checks KVS’s stock every 60 days. During one visit, the store had eight packages in stock. The lead time to receive an order is five days. Determine the order size for this order period that will enable KVS to maintain a 95% service level.