A company extracts oil from canola seeds. Demand for canola oil is constant throughout the year at the rate of 72,000 cans. The holding cost is $0.50 per can per year. The cost involved in the machine set-up is $100 per set-up. The production capacity of the machine is 300 cans per day. The year has 365 days. Determine the following: a. The optimal production run quantity b.The maximum inventory C.The total minimum annual inventory costs D.The optimal number of production runs per year E.The length of the production run
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A company extracts oil from canola seeds. Demand for canola oil is constant throughout the year at the rate of 72,000 cans. The holding cost is $0.50 per can per year. The cost involved in the machine set-up is $100 per set-up. The production capacity of the machine is 300 cans per day.
The year has 365 days.
Determine the following:
a. The optimal production run quantity
b.The maximum inventory
C.The total minimum annual inventory costs
D.The optimal number of production runs per year
E.The length of the production run
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- A specialty coffeehouse sells Colombian coffee at a fairly steady rate of 280 pounds annually. The beans are purchased from a local supplier for $2.40 per pound. The coffeehouse estimates that it costs $45 in paperwork and labor to place an order for the coffee, and holding costs are based on a 20 percent annual interest rate. For the situation described above, draw a graph of the amount of inventory on order. Using your graph, determine the average amount of inventory on order. Also compute the demand during the replenishment lead time. How do these two quantities differ?A specialty coffeehouse sells Colombian coffee at a fairly steady rate of 280 poundsannually. The beans are purchased from a local supplier for $2.40 per pound. The coffeehouse estimates that it costs $45 in paperwork and labor to place an order for thecoffee, and holding costs are based on a 20 percent annual interest rate.c. What is the average annual cost of holding and setup due to this item?A Mercedes dealer pays $40,000 for each car purchased (wholesale price). The annual holding cost is estimated to be 30% of the dollar value of inventory. The dealer sells an average of 1200 cars per year. They believe that demand is backlogged but estimate that if they are short one car for one year, the loss in future profits is about 10% of the wholesale price. Each time the dealer places an order for cars, ordering costs amount to $1600. Assume there are 360 work days per year. Question: If the Mercedes dealer wants to limit backorders so that they occur 20% of the time, what is the maximum number of backorders that should be allowed (assuming the optimal order quantity doesn't change)?
- Suppose that your firm manufactures rubber chickens. Monthly demand for the chickens is 32,000 units. Setup costs per order is $85, and the annual holding cost percentage is 17%. The chickens cost $8 to produce and are sold for $18. a. if you have a warehouse, what is the economic order quantity for the chickens? what is the total of the annual setup and holding cost of this quantity? b. suppose that you have 25 warehouses instead of one, and total demand is equally distributed among the warehouses. If setup and holding costs are the same in the smaller warehouses as they would be for a single large warehousem what is the EOQ for the chickens at each of the 25 warehouses? what is the total of the annual setup and holding costs at each warehouse? what is the total of the company's annual setup and holding costs? c. using centralized warehousing as in part a implies that products must be shipped over longer distances. suppose that shipping costs are $0.80 per unit when using one…Berry Computer is considering moving some of its operations overseas in order to reduce labor costs. In the United States, its main circuit board costs Berry $75 per unit to produce, while overseas it costs only $65 to produce. Holding costs are based on a 20 percent annual interest rate, and the demand has been a fairly steady 200 units per week. Assume that setup costs are $200 both locally and overseas. Production lead times are one month locally and six months overseas.a. Determine the average annual costs of production, holding, and setup at each location, assuming that an optimal solution is employed in each case. Based on these results only, which location is preferable?b. Determine the value of the pipeline inventory in each case. (The pipeline inventory is the inventory on order.) Does comparison of the pipeline inventories alter the conclusion reached in part (a)?c. Might considerations other than cost favor local over overseas production?The Olde Town Microbrewery makes Townside beer,which it bottles and sells in its adjoining restaurant and bythe case. It costs $1700 to set up, brew, and bottle a batchof the beer. The annual cost to store the beer in inventory is$1.25 per bottle. The annual demand for the beer is 21,000bottles and the brewery has the capacity to produce 30,000bottles annually.a. Determine the optimal order quantity, total annual inventory cost, the number of production runs per year, andthe maximum inventory level.b. If the microbrewery has only enough storage space tohold a maximum of 2500 bottles of beer in inventory,how will that affect total inventory costs?
- Wilson Publishing Company produces books for the retail market. Demand for a current book is expected to occur at a constant annual rate of 7500 copies. The cost of one copy of the book is $14.50. The holding cost is based on an 20% annual rate, and production setup costs are $150 per setup. The equipment on which the book is produced has an annual production volume of 25,000 copies. Wilson has 250 working days per year, and the lead time for a production run is 15 days. Use the Economic Production Quantity model to compute the following values: Minimum cost production lot size Number of production runs per year Cycle time Length of a production run Maximum inventory Total annual cost Reorder pointThe TransCanada Lumber Company and Mill processes 10,000 logs annually, operating 250 days per year. Imme-diately upon receiving an order, the logging company’s supplier begins delivery to the lumber mill at the rate of 60 logs per day. The lumber mill has determined that the or-dering cost is $1600 per order, and the cost of carrying logs in 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 anorderA publishing Company produces books for the retail market. Demand for a current book is expected to occur at a constant annual rate of 7500 copies. The cost of one copy of the book is $27.50. The holding cost is based on 18% annual rate, and production setup costs are $550.00. The equipment on which the book is produced has an annual production volume of 21,000 copies. The Company uses 250 working days per year and the lead time for a production run is 12 days. Assume the company is willing to tolerate one stock-out per year and that the lead time demand follows a normal distribution with a standard deviation of 75 copies. Using an appropriate Fixed Order Quantity system model compute the following: (a) Length of production run (two decimal points) (b) Maximum inventory (use the closest Z value, answer whole number) (c) The reorder point (whole number) (d) Total annual stocking cost (two decimal points with no commas)
- jeweler purchases silver for use in its products. The firm uses 190 grams of silver per week and purchases silver for $0.52 per gram from a supplier. Each time the firm orders silver from the supplier, the firm must pay a $11 order processing charge. The firm's annual holding cost percentage is 38%. Do not round intermediate calculations. Assume there are 52 weeks in a year and round your answer to two decimal places. If the jeweler orders 1,950 grams of silver with each order, what is the sum of the annual holding and ordering costs? dollars Please do fast ASAP fastA specialty coffeehouse sells Colombian coffee at a fairly steady rate of 280 poundsannually. The beans are purchased from a local supplier for $2.40 per pound. The coffeehouse estimates that it costs $45 in paperwork and labor to place an order for thecoffee, and holding costs are based on a 20 percent annual interest rate.b. What is the time between placement of orders?At sejahtera.com, a large retailer of popular books, demand is constant at 32,000 books per year. The cost of placing an order to replenish stock is $10, and the annual cost of holding is $4 per book. Stock is received five working days after an order has been placed. The backordering is not allowed. Assume 300 working days a year. a. calculate sejahtera.com’s optimal order quantity. b. calculate the optimal number of orders per year c. Calculate the optimal interval (in working days) between orders. d. Determine the demand during the lead time. e. Determine the reorder point. f. Determine the inventory position immediately after an order has been placed. g. Draw the model to represent the case.