Consider a hardware supply warehouse that is contractually obligated to deliver 1000 units a specialized fastener to a local manufaturing company each week. Each time the warehouse places an order for these items from its supplier, an ordering and transporation fee off $20 is charged to the warehouse. The warehouse pays $1.00 for each fastener and charges the local firm $5.00 for each fastener. Annual holding cosst iss 25% off inventory value, or $0.25 per year. The warehouse manager would like to know how much to order when inventory gets to zero. Assume that the warehouse works 50 weeks/year.
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Consider a hardware supply warehouse that is contractually obligated to deliver 1000
units a specialized fastener to a local manufaturing company each week. Each time the
warehouse places an order for these items from its supplier, an ordering and transporation
fee off $20 is charged to the warehouse. The warehouse pays $1.00 for each fastener and
charges the local firm $5.00 for each fastener. Annual holding cosst iss 25% off inventory
value, or $0.25 per year. The warehouse manager would like to know how much to order
when inventory gets to zero.
Assume that the warehouse works 50 weeks/year.
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- The purchasing manager for the Atlantic Steel Company must determine a policy for orderingcoal to operate 12 converters. Each converter requires exactly 5 tons of coal per day to operate,and the firm operates 360 days per year. The purchasing manager has determined that the orderingcost is $80 per order and the cost of holding coal is 20% of the average dollar value of inventoryheld. The purchasing manager has negotiated a contract to obtain the coal for $12 per ton forthe coming year. If 5 days of lead time are required to receive an order of coal, how much coal should be on hand when an order is placed?The bookstore at Tech purchases jackets emblazoned withthe school name and logo from a vendor. The vendor sellsthe jackets to the store for $38 apiece. The cost to the bookstore for placing an order is $120, and the annual car-rying cost is 25% of the cost of a jacket. The bookstore manager estimates that 1700 jackets will be sold during theyear. The vendor has offered the bookstore the followingvolume discount schedule: Order Size Discount1–299 0%300–499 2%500–799 4%800 5% What is the bookstore’s optimal order quantity, given thisquantity discount information?The purchasing manager for the Atlantic Steel Company must determine a policy for orderingcoal to operate 12 converters. Each converter requires exactly 5 tons of coal per day to operate,and the firm operates 360 days per year. The purchasing manager has determined that the orderingcost is $80 per order and the cost of holding coal is 20% of the average dollar value of inventoryheld. The purchasing manager has negotiated a contract to obtain the coal for $12 per ton forthe coming year. Determine the optimal quantity of coal to receive in each order.
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- Bold Vision, Inc., must purchase toner from a local supplier. The company does not wish to carry raw material inventory and therefore only purchases enough toner to satisfy the demand of each individual batch of cartridges. Each toner cartridge requires one pound of toner. The raw material supplier offers Bold Vision a purchase discount of $2.00 per pound if the company orders at least 2,000 pounds at a time. Should Bold Vision accept this offer and alter its toner purchase quantity?1) Store A orders on a weekly basis. Its weekly demand is 50 units with a standard deviation of five units. The holding cost is $10 per unit per week and a 0.99 in-stock probability is desired. What is Store A’s average holding cost incurred each week for on-order inventory if lead time is five weeks? 2) Store A orders on a weekly basis. Its weekly demand is 50 units with a standard deviation of five units. The holding cost is $10 per unit per week and a 0.99 in-stock probability is desired. What is Store A’s average on-hand inventory if lead time is five weeks?Colours Galore buys a standard type of paint in 50 litres containers at a price of R800 per container and 19200 of these containers are used each year. The stock controller estimates that the cost of placing and receiving a order is R450. The controller's estimate of the annual cost of carryinh this product is R6 per container. Suppose Colour Galore were to order 800 containers per order placed during the year. Calculate the avergare inventory and the annual holding cost