Final answer:
The inventory average for the company is approximately 775 units.
Step-by-step explanation:
In order to calculate the inventory average, we need to consider the economic order quantity (EOQ) formula, which takes into account the annual demand, ordering cost, and carrying cost. The formula for EOQ is:
EOQ = √(2 * Annual Demand * Ordering Cost / Carrying Cost)
Given the information, the annual demand is 15,000 units, the ordering cost is $200, and the carrying cost is $10 per unit. Plugging in these values into the EOQ formula, we get:
EOQ = √(2 * 15,000 * 200 / 10) = √(600,000) = 774.60 units
Therefore, the inventory average for this company is approximately 775 units.