# Economic Order Quantity - EOQ

## What is an 'Economic Order Quantity - EOQ'

Economic order quantity (EOQ) is an equation for inventory that determines the ideal order quantity a company should purchase for its inventory given a set cost of production, demand rate and other variables. This is done to minimize variable inventory costs, and the formula takes into account storage, or holding, costs, ordering costs and shortage costs. The full equation is as follows:

where :
S = Setup costs
D = Demand rate
P = Production cost
I = Interest rate (considered an opportunity cost, so the risk-free rate can be used)

## BREAKING DOWN 'Economic Order Quantity - EOQ'

The EOQ formula can be modified to determine different production levels or order interval lengths, and corporations with large supply chains and high variable costs use an algorithm in computer software to determine EOQ.

## How Inventory Impacts Cash-Flow Planning

EOQ is an important tool for management to minimize the cost of inventory and the amount of cash tied up in the inventory balance. For many companies, inventory is the largest asset balance owned by the company, and these businesses must carry sufficient inventory to meet the needs of customers. If EOQ can help minimize the level of inventory, the cash savings can be used for some other business purpose.

## Factoring in a Reorder Point

One component of the EOQ formula calculates a reorder point, which is a level of inventory that triggers the need to place an order for more inventory. By determining a reorder point, the business avoids running out of inventory and is able to fill all customer orders. If the company runs out of inventory, there is a shortage cost, which is the revenue lost because the company does not fill an order. Having an inventory shortage may also mean the company loses the customer or the client orders less in the future.

## Example of Using EOQ

EOQ takes into account the timing of reordering, the cost incurred to place an order and costs to store merchandise. If the company is constantly placing small orders to maintain a specific inventory level, the ordering costs are higher, along with the need for additional storage space. Assume, for example, a retail clothing shop carries a line of menâ€™s jeans and the shop sells 1,000 pairs of jeans each year. It costs the company \$5 per year to hold a pair of jeans in inventory, and the fixed cost to place an order is \$2. The EOQ formula is the square root of: (2 X 1,000 pairs X \$2 order cost) / (\$5 holding cost), or 28.284 with rounding. The ideal order size to minimize costs and meet customer demand is slightly over 28 pairs of jeans. A more complex portion of the EOQ formula provides the reorder point.