Problem $11-21($Algo$)$

Item X is a standard item stocked in a company's inventory of component parts. Each year the firm, on a random basis, uses about $1,800$ of item X$,$ which costs $$25$ each. Storage costs, which include insurance and cost of capital, amount to $$10$ per unit of average inventory. Every time an order is placed for more of item X$,$ it costs $$10.$

Whenever item X is ordered, what should the order size be$?$

Note: Round your answer to the nearest whole number.

What is the annual cost for ordering item X$?$

Note: Round your order quantity to the nearest whole number and your final answer to $2$ decimal places.

What is the annual cost for storing item X$?$

Note: Round your order quantity to the nearest whole number and your final answer to $2$ decimal places.