10.5. An SKU has an annual demand of 10,000 units, each costing $15, ordering costs are $80 per order, and the cost of carrying inventory is 25%. Calculate the EOQ in units and then convert to dollars.

Respuesta :

EOQ is $9,798.

Given:

Annual demand (D)=10,000 units.

Holding cost (H) = 0.25× 15

Order cost (O) = $80

EOQ is to be computed.

Economic order quantity (EOQ) is a computation that businesses use to determine their optimal order size, allowing them to satisfy demand while without overpaying. Inventory managers compute EOQ in order to reduce holding costs and surplus inventory.

The formula to compute the EOQ is given as:

EOQ=[tex]\sqrt{\frac{2*D*O}{H} }[/tex]

[tex]=\sqrt{\frac{2*10000*80}{3.75} } \\=653.20[/tex]

Converting in dollars =653.2×15

                                 =$9,798

Hence, the EOQ is $9,798.

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