Sam's Auto Shop services and repairs a particular brand of foreign automobile. Sam uses oil filters throughout the year. The shop operates 52 weeks per year, and weekly demand is 150 filters Sam estimates that it costs $16 to place an order and his annual holding cost rate is $2 per oil filter. Using this information, calculate the economic order quantity.

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Business

Donna Dunlap

25 December, 20:17

Sam's Auto Shop services and repairs a particular brand of foreign automobile. Sam uses oil filters throughout the year. The shop operates 52 weeks per year, and weekly demand is 150 filters Sam estimates that it costs $16 to place an order and his annual holding cost rate is $2 per oil filter. Using this information, calculate the economic order quantity.

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Kathryn Ali · Answer 1

The EOQ is 353 units

Explanation:

The economic order quantity or EOQ is the quantoty that minimized the holding and ordering cost for invetory.

The formula for EOQ is,

EOQ = √ (2*D*O) / H

Where,

D is the annual demand in units O is the ordering cost per order H is the holding cost per unit per annum

The annual demand of oil filters by Sam is,

Annual demand = 52 * 150 = 7800 filters

The EOQ for Sam Auto Shop is,

EOQ = √ (2*7800*16) / 2

EOQ = 353.27 Units rounded off to 353 units