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AT Oils, a gas station, retails 30,000 gallons of petrol per year. Its ordering costs are $20 per order and holding costs are $40 per gallon. According to the economic order quantity (EOQ) model, approximately how often should the company place a fresh order for petrol

Respuesta :

Shahzaibfaraz

Answer:

The company should place an order every 2 days

Explanation:

The EOQ or economic order quantity is the quantity which minimizes the inventory related costs. The EOQ is calculated as follows,

EOQ = √(2 * D * O) / H

Where,

  • D is the annual demand
  • O is the ordering cost per order
  • H is the holding cost per unit per year

EOQ = √(2 * 30000 * 20) / 40

EOQ = 173.2050808 gallons rounded off to 174 gallons

If the company orders using the EOQ, then at an annual demand of 30000 gallons, the number of times that company should order the EOQ is,

Number of orders = 30000 / 174 = 172.4137931 or 173 orders per year

If the company needs to order 173 times per year, the company should place an order every x number of days.

x = 365 / 173

x = 2.10982659 days rounded off to 2.11 days or every 2 days

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