kindly include step by step explanation of answer. (calculate usibg Economic order quantity (EOQ))

A producer of single engine aircraft plans to build 1,600 aircraft in the coming year. The fixed cost of placing an order is $50 regardless of order size. The variable cost of carrying inventory is one dollar per unit per period on the average inventory balance. In order to optimize the total cost of inventory, how many aircraft should the firm order and how many times should they place an order? (Choose the best one answer out of the following)

A 400 engines and 4 orders

B 800 engines and 2 orders

C 200 engines and 8 orders

D 100 engines and 16 orders