5 Example 90. A company finds that the demand for an item is uniform at 10,000 units peryear. It costs 50 each time to place an order, regardless of the quantity order. If the holdingcost is ? 1 per unit per year, find the economic order quantity.

Economic Order Quantity is the quantity of an item ordered such that its total inventory costs are…

Answered: Example 90. A company finds that the…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter10: Introduction To Simulation Modeling

Section10.4: Simulation With Built-in Excel Tools

Problem 13P

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A component used in a manufacturing facility is ordered from an outside supplier.Because the component is used in a variety of end products, the demand is high. Estimated demand (in thousands) over the next 10 weeks isWeek 1 2 3 4 5 6 7 8 9 10Demand 22 34 32 12 8 44 54 16 76 30The components cost 65 cents each and the interest rate used to compute the holding cost is 0.5 percent per week. The fixed order cost is estimated to be $200. (Hint:Express h as the holding cost per thousand units.)d. Which method resulted in the lowest-cost policy for this problem?
A component used in a manufacturing facility is ordered from an outside supplier.Because the component is used in a variety of end products, the demand is high. Estimated demand (in thousands) over the next 10 weeks isWeek 1 2 3 4 5 6 7 8 9 10Demand 22 34 32 12 8 44 54 16 76 30The components cost 65 cents each and the interest rate used to compute the holding cost is 0.5 percent per week. The fixed order cost is estimated to be $200. (Hint:Express h as the holding cost per thousand units.)a. What ordering policy is recommended by the Silver–Meal heuristic?
A component used in a manufacturing facility is ordered from an outside supplier.Because the component is used in a variety of end products, the demand is high. Estimated demand (in thousands) over the next 10 weeks isWeek 1 2 3 4 5 6 7 8 9 10Demand 22 34 32 12 8 44 54 16 76 30The components cost 65 cents each and the interest rate used to compute the holding cost is 0.5 percent per week. The fixed order cost is estimated to be $200. (Hint:Express h as the holding cost per thousand units.)c. What ordering policy is recommended by the least unit cost heuristic?
A component used in a manufacturing facility is ordered from an outside supplier.Because the component is used in a variety of end products, the demand is high. Estimated demand (in thousands) over the next 10 weeks isWeek 1 2 3 4 5 6 7 8 9 10Demand 22 34 32 12 8 44 54 16 76 30The components cost 65 cents each and the interest rate used to compute the holding cost is 0.5 percent per week. The fixed order cost is estimated to be $200. (Hint:Express h as the holding cost per thousand units.)b. What ordering policy is recommended by the part period balancing heuristic?
A firm experiences demand with a mean of 100 units perday. Lead time demand is normally distributed, with a meanof 1,000 units and a standard deviation of 200 units. It costs$6 to hold one unit for one year. If the firm wants to meet90% of all demand on time, what will be the annual cost ofholding safety stock? (Assume that each order costs $50.)
Using excel. Apply the EOQ model to the following quantity discountsituation for which D5 500 units per year, Co5 $40, and theannual holding cost rate is 20%. What order quantity do yourecommend?DiscountDiscountCategoryOrder Size(%)unit Cost10 to990$10.002100 or more3$9.70
A company has a demand for 25,750 units annually. The holding cost is 33% of the item cost which is $10.00. The ordering or set-up cost is $250.00 per order and the lead time is 5 days. Assume that there are 350 days per year Suppose a price break of $50 per order is offered for purchase quantities of 2,000 or greater. a) Would you take advantage of this based on the economics of the two offers? b) How much is the difference in the annual cost between these two options? c) What is the reorder point for this inventory strategy? What is the inventory position immediately after an order is placed for the inventory strategy that you have selected?
A hospital orders its thermometers from a hospitalsupply firm. The cost per thermometer depends on the ordersize q, as shown in Table 6. The annual holding cost is 25%of the purchasing cost. Let EOQ80 be the EOQ if the costper thermometer is 80¢, and let EOQ79 be the EOQ if thecost per thermometer is 79¢.a Explain why EOQ79 will be larger than EOQ80. b Explain why the optimal order quantity must be ei-ther EOQ79, EOQ80, or 100. c If EOQ80 100, show that the optimal order quan-tity must be EOQ79. d If EOQ80 100 and EOQ79 100, show that theoptimal order quantity must be either EOQ80 or 100.e If EOQ80 100 and EOQ79 100, show that the optimal order quantity must be EOQ79.
Change the ordering simulation so that emergencyorders are never made. If demand in any week isgreater than supply, the excess demand is simplylost. Simulate the same (s, S) policies as in theexample.
If D = 8000 per month, S = $45 per order and H = $x per unit per month. If doubling the holding cost makes the optimal order quantity (EOQ) become 600, what is the value of x?
In the calculation of an optimal policy for an all-units discount schedule, you firstcompute the EOQ values for each of the three order costs, and you obtain: Q(0) =800, Q(1) =875, and Q(2) =925. The all-units discount schedule has breakpointsat 750 and 900. Based on this information only, can you determine what the optimal order quantity is? Explain your answer.
In the Walton Bookstore example, suppose thatWalton receives no money for the first 50 excesscalendars returned but receives $2.50 for every calendar after the first 50 returned. Does this change theoptimal order quantity?

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Example 90. A company finds that the demand for an item is uniform at 10,000 units per year. It costs 50 each time to place an order, regardless of the quantity order. If the holding cost is ? 1 per unit per year, find the economic order quantity.