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50) 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 (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? Explain these results. 51) A firm that makes electronic circuits has been ordering a certain raw material 250 ounces at a time. The firm estimates that carrying cost is I = 30% per year, and that ordering cost is about $20 per order. The current price of the ingredient is $200 per ounce. The assumptions of the basic EOQ model are thought to apply. For what value of annual demand is their action optimal? 52) A printing company estimates that it will require 1,000 reams of a certain type of paper in a given period. The cost of carrying one unit in inventory for that period is 50 cents. The company buys the paper from a wholesaler in the same town, sending its own truck to pick up the orders at a fixed cost of $20.00 per trip. Treating this cost as the order cost, (a) what is the optimum number of reams to buy at one time? (b) How many times should lots of this size be bought during this period? (c) What is the minimum cost (holding and setup) of maintaining inventory on this item for the period? (d) Of this total cost, how much is carrying cost and how much is ordering cost? 53) The Rushton Trash Company stocks, among many other products, a certain container, each of which occupies four square feet of warehouse space. The warehouse space currently available for storing this product is limited to 600 square feet. Demand for the product is 15,000 units per year. Holding costs are $4 per container per year. Ordering costs are $5 per order. (a) What is the cost-minimizing order quantity decision for Rushton? (b) What is the total inventory-related cost of this decision? (c) What is the total inventory-related cost of managing the inventory of this product, when the limited amount of warehouse space is taken into account? (d) What would the firm be willing to pay for additional warehouse space?

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