Answer:
EOQ = 220.6052281 shirts rounded off to 221 shirts
The order should be placed after every 110 days.
Explanation:
The EOQ or economic order quantity is the optimum order level or quantity which minimizes the inventory related costs. This is the order quantity where the cost of ordering and the cost of holding the inventory is the minimum. The formula for EOQ is,
EOQ = √(2 * AD * O) / H
Where,
- AD refers to annual demand
- O is ordering cost per order
- H is holding cost per unit per year
Annual demand for t shirts (assuming 365 days per year) = 2 * 365 = 730
Holding cost per unit per year = 0.5 * 12 = $6
EOQ = √(2 * 730 * 200) / 6
EOQ = 220.6052281 shirts rounded off to 221 shirts
To calculate how frequently the order should be placed,we will calculate the number of orders per year by dividing the total annual demand by the EOQ.
Number of orders per year = 730 / 220.61
Number of orders per year = 3.309 or 3.31 orders per year
Number of days per order = 365 / 3.309
Number of days per order = 110.305 days or 110 days
