An eyeglass retailer buys lenses from a supplier at $100 each. The retailer orders 250 lens pairs every year and the ordering cost is $36. Carrying costs per year (based on average inventory) are estimated to be 20% for each pair. The supplier offers a 10% on order quantities of 50 or more lens pairs. Determine the best order quantity and total cost
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An eyeglass retailer buys lenses from a supplier at $100 each. The retailer orders 250 lens pairs every year and the ordering cost is $36. Carrying costs per year (based on average inventory) are estimated to be 20% for each pair. The supplier offers a 10% on order quantities of 50 or more lens pairs. Determine the best order quantity and total cost
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- Surge Electric uses 4,000 toggle switches a year. Switches are priced as follows: 1 to 499, 90cents each; 500 to 999, 85 cents each; and 1,000 or more, 80 cents each. It costs approximately$30 to prepare an order and receive it, and carrying costs are 40 percent of purchase price perunit on an annual basis. Determine the optimal order quantity and the total annual cost.A pharmacist wants to establish an optimal inventory policy for a new antibiotic that requires refrigeration in storage. The pharmacist expects to sell 6000 packages of this antibiotic at a steady rate during the next year. She plans to place several orders of the same size spaced equally throughout the year. The ordering cost for each delivery is $15, and carrying costs, based on the average number of packages in inventory, amount to $8 per year for one package. Use this information to answer the following questions. a) Let x be the order quantity and r the number of orders placed during the year. Find the inventory cost (ordering cost plus carrying cost) in terms of x and r. b) Find the constraint function. c) Determine the economic order quantity that minimizes the inventory cost and then find the minimum inventory cost. X=__________ C=$___________The Interstate Carpet Discount Store has annual demand of10,000 yards of Super Shag carpet. The annual carrying costfor a yard of this carpet is $1.25, and the ordering cost is$300. The carpet manufacturer normally charges the store $8per yard for the carpet. However, the manufacturer has offered a discount price of $6.50 per yard if the store will order5000 yards. How much should the store order, and what willbe the total annual inventory cost for that order quantity?
- The TransCanada Lumber Company and Mill processes10,000 logs annually, operating 250 days per year. Immediately upon receiving an order, the logging company’ssupplier begins delivery to the lumber mill at the rate of 60logs per day. The lumber mill has determined that the ordering cost is $1600 per order, and the cost of carrying logsin inventory before they are processed is $15 per log on anannual basis. Determine the following:a. The optimal order sizeb. The total inventory cost associated with the optimalorder quantityc. The number of operating days between ordersd. The number of operating days required to receive anordeRed Lip Cherry (RLC) is a local retailer of cherries. During the cherry seasons, daily demand follows a normal distribution with a mean of 100 pounds and a standard deviation of 10 pounds. RLC purchases its cherries from a local orchard for $12 per pound and sells them for $20 per pound. At the end of business day, any remaining cherries will be sold to a producer of cherry juice for $10 per pound. What is the optimal service level to set? What is the optimal ordering quantity (corresponding to the optimal service level in Q29)?The Pacific Lumber Company and Mill processes 10,000 logs annually, operating 250 days peryear. Immediately upon receiving an order, the logging company’s supplier begins delivery tothe lumber mill, at a rate of 60 logs per day. The lumber mill has determined that the orderingcost is $1,600 per order and the cost of carrying logs in inventory before they are processed is$15 per log on an annual basis. Determine The total inventory cost associated with the optimal order quantity
- Petromax Enterprises uses a continuous review policy to manage the inventory for one of its SKUs. The following information is available on the item. The firm operates 50 weeks in a year. Demand = 90,000 units/year Ordering Cost = $60/Order Holding Cost = $3/Unit/Order Lead Time = 10 weeks Standard Deviation of Weekly Demand = 200 units Suppose due to some recent changes to the target service level, they have determined the reorder point to be 20,000. If the inventory position of this SKU is currently 19,600, how many units should they order? (Round your answer to the nearest whole number, if it has decimals. Input 0 if they should not order now.)National Co. uses about 200,000 yards of a particular fabric each year. The fabric costs P25 per yard. The current policy is to order the fabric four times a year. Incremental ordering costs are about P200 per order, and incremental carrying costs are about P0.75 per yard, much of which represents the opportunity cost of the funds tied up in inventory. How much total annual costs are associated with the current inventory policy?The average daily demand and standard deviation of daily demand for a product is 800 and 12 respectively. Replenishment lead time from the supplier in 4 days. The fixed cost and holding st are $15,000 and $18, respectively.If the service level is 95% then calculate a) Average demand during lead time b) Safety stock c) Reorder level d) Order quantity
- Hayes Electronics assumed with certainty that the ordering cost is $450 per order and the inventory carrying cost is $170 per unit per year. However, the inventory model parameters are frequently only estimates that are subject to some degree of uncertainty. Consider four cases of variation in the model parameters: (a) Both ordering cost and carrying cost are 10% less than originally estimated, (b) both ordering cost and carrying cost are 10% higher than originally estimated, (c) ordering cost is 10% higher and carrying cost is 10% lower than originally estimated, and (d) ordering cost is 10% lower and carrying cost is 10% higher than originally estimated. Determine the optimal order quantity and total inventory cost for each of the four cases. Prepare a table with values from all four cases and compare the sensitivity of the model solution to changes in parameter values.The carrying cost curve and ordering cost curve of NEKO Inc.’s inventory intersect at 3,500 units. What is the total annual cost of inventory given that the annual demand is 75,000 units and the carrying cost per unit per year is P12ESTRELLA is a bike retailer located in the outskirts of Bacolod City. ESTRELLA purchases bikes from STORAGEHUB in orders of 250 bikes which is the current economic order quantity. STORAGEHUB is now offering the following bulk discounts to its customers: Price 0% discount on orders less than 499 P3,500 10% discount on orders above 500 units - 999 3,150 15% discount on orders above 1,000 units 2,975 ESTRELLA is wondering if the EOQ model is still the most economical and whether increasing the order size would actually be more beneficial. Following information is relevant to forming the decision: Annual demand is 5000 units Ordering cost is $100 per order Annual holding cost is 25% QTY SETUP HOLDING PROODUCT COST TOTAL COST Q1 25423.73 25812.5 what is the product cost what is the total cost Q2 3000 198437.5 what is…