Concept explainers
a)
To calculate: The optimal size of the production run.
Introduction:
Economic production quantity (EPQ):
The economic production quantity is used to determine the amount a company or a retail outlet should purchase at every order so as to minimize the associated total inventory costs. It is done by balancing the holding cost and the ordering cost.
b)
To calculate: The average holding cost per year.
Introduction:
Average holding cost:
The average holding cost is the cost associated with storing the inventory of unsold items. It will also consider the cost of loss of goods, labor and other associated costs.
c)
To calculate: The average setup cost per year.
Introduction:
Average setup cost:
The average setup cost is the expense involved in setting up a business which includes the machinery, labor, infrastructure and the cost of other associated requirements.
d)
To calculate: The total cost including the cost of lights per year.
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Principles Of Operations Management
- 3) A company produces a part that is used in its production process. The company produces the part at a rate of 300 units per day. The daily demand for the product is 180 units. The annual demand for the part is 54,000 units and occurs consistently over the 300 days that the company operates yearly. The company incurs a setup cost of $300 each time the item is produced. The cost of carrying the item in inventory is estimated to be 25 percent of the item's $100 cost. How many units should the company produce each production run to minimize its inventory- associated costs?arrow_forwardRadovilsky Manufacturing Company, in Hayward, California, makes flashing lights for toys. The company operates its production facility 300 days per year. It has orders for about 12,300 flashing lights per year and has the capability of producing 100 per day. Setting up the light production costs $51. The cost of each light is $0.95. The holding cost is $0.05 per light per year.arrow_forwardRadovilsky Manufacturing Company, in Hayward, California, makes flashing lights for toys. The company operates its production facility 300 days per year. It has orders for about 12,500 flashing lights per year and has the capability of producing 105 per day. Setting up the light production costs $52. The cost of each light is $1.00. The holding cost is $0.10 per light per year. a) What is the optimal size of the production run? Optimal Size of the Production run = Qp = b) What is the average holding cost per year? 2DS √ + [₁-9] units (round your response to the nearest whole number). Average Holding Cost per Year = Average Inventory x Holding Cost per Unit = decimal places). c) What is the average setup cost per year? Qp 27² × [1₁-11] Average Setup Cost = Number of Orders Placed per Year x Setup Cost per Order = d) What is the total cost per year, including the cost of the lights? Total Cost = Annual Holding Cost + Annual Setup Cost + Product Cost = $ -S= x Holding Cost per Unit = $…arrow_forward
- Radovilsky Manufacturing Company, in Hayward, California, makes flashing lights for toys. The company operates its production facility 300days per year. It has orders for about 11,600 flashing lights per year and has the capability of producing 100 per day. Setting up the light production costs $51. The cost of each light is $0.95. The holding cost is $0.10 per light per year. a) What is the optimal size of the production run? nothing units (round your response to the nearest whole number).arrow_forwardf Radovilsky Manufacturing Company, in Hayward, California, makes flashing lights for toys. The company operates its production facility 300 days per year. It has orders for about 12,300 flashing lights per year and has the capability of producing 95 per day. Setting up the light production costs $51. The cost of each light is $1.00. The holding cost is $0.05 per light per year. a) What is the optimal size of the production run? 6,644 units (round your response to the nearest whole number). b) What is the average holding cost per year? $ 166.10 (round your response to two decimal places). nis 3 1 Calculator -8 FI N @ 2 W S * F2 Ask my instructor X H command # 3 E D 80 F3 F3 $ 4 C R DOO 000 F4 LL F or de 5 V Question Viewer FS T G A 6 B MacBook Pro F6 Y H & 7 N 44 F7 U J 8 M DII FB - K ( 9 DD F9 O t .... - option Clear all 4 F11 { [ 2.1 ? + = 11 I ▾ 4) F12 [ } ] Final check delete 1 1 return shift Harrow_forwardThe economic order quantity of Geo Co. is determined to be 450 units and it sells its only product for P5 each. Every time the company orders, it incurs P50. Holding cost is P10. It takes 3 days to make and receive an order. How much sales should Geo Co. for this economic order quantity to be plausible? (Using 360 day per year)arrow_forward
- JNR Corporation makes wheels for toy cars. The company operates its production facility 300 days per year. It has orders for about 12,000 wheels per year and has the capability of producing 100 per day. Setting up the wheel production costs P50. The cost of each wheel is P10. The holding cost is P1 per wheel per year. a. What is the optimal size of the production run? b. What is the average holding cost per year? c. What is the average setup cost per year? d. What is the total cost per year, including the cost of the wheel?arrow_forwardMedtronic sells medical devices. The company enjoys many growth opportunities, and so it measures its inventory holding cost at the rate of 25% per year. It currently turns over its inventory 3 times per year. Its gross margin (the difference between revenue and cost) as a percentage of its revenue is an enviable 65%. a. For an item that costs Medtronic $600 to produce, what would be the cost ($s) to hold this item for one year in inventory? b. For an item that costs Medtronic $350 to produce, what is the cost to hold it in inventory ($s)? (Assume it remains in inventory for the average amount of time for the company.)arrow_forwardA large manufacturer purchases a part from a supplier under a continuous review system. The average demand is 400 units a day with a standard deviation of 50 units a day. It costs $55 to process each order. The holding cost for a part is $0.2 per month and the company has a policy of maintaining a 96% service level. The company operates 315 days per year. The time from when an order is placed to when it arrives at the company from its vendor is 5 days. a- What is the reorder point? b- What order quantity would be appropriate c- What is the total annual cost for this item?arrow_forward
- Radovilsky Manufacturing Company, in Hayward, California, makes flashing lights for toys. The company operates its production facility 300 days per year. It has orders for about 12,300 flashing lights per year and has the capability of producing 100 per day. Setting up the light production costs $48. The cost of each light is $1.05. The holding cost is $0.15 per light per year. a) What is the optimal size of the production run? 3653 units (round your response to the nearest whole number). b) What is the average holding cost per year? $ 161.65 (round your response to two decimal places). c) What is the average setup cost per year? $ (round your response to two decimal places).arrow_forward49 A newspaper boy is trying to perfect his business in order to maximize the money he can save for a new car. Daily paper sales are normally distributed, with a mean of 100 and standard deviation of 10. He sells papers for $0.50 and pays $0.30 for them. Unsold papers are trashed with no salvage value. How many papers should he order each day and what % of the time will he experience a stockout? Are there any drawbacks to the order size proposed and how could the boy address such issues?arrow_forward14. 12 The purchasing manager for the Atlantic Steel Company must determine a policy for ordering coal 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 ordering cost is $80 per order and the cost of holding coal is 20% of the average dollar value of inventory held. The purchasing manager has negotiated a contract to obtain the coal for $12 per ton for the coming year. a. Determine the optimal quantity of coal to receive in each order. (Ans: 1200 tons) b. Determine the total inventory-related costs associated with the optimal ordering policy (do not include the cost of the coal). (Ans: TC= $2880) c. 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? (Ans= R=300 tons)arrow_forward
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