An auto parts shop carries an oil filter for trucks. The annual demand for the oil filter is roughly 1200 units. The ordering cost per order for the auto parts shop is $80; the holding cost of carrying 1 unit is $1.2 per year. The shop has 360 working days per year. The lead time is usually 12 working days. Determine the economic order quantity.

The answer is the economic order quantity is 400 units.

Explanation:

For this question, we apply the economic order quantity (EOQ) formula developed by Ford W. Harris in 1913, to find the answer. The formula is shown as below:

EOQ =

in which: EOQ: Economic order quantity; D: Annual Demand in units; S: Cost per order; H: Annual holding cost per unit.

So by substituting the information we are given in the question, we have: D = 1,200 units; S = $80 and H = $1.2. Thus:

EOQ = = 400 units.

So, the economic order quantity is 400 units.

you have to put the parentheses like this:

in fact, you have to perform the operation inside parentheses first, and then proceed in order:

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