$1.$ A company will begin stocking remote control devices. Expected monthly demand is $800$ units. The controllers can be purchased from either supplier A or supplier B$.($Note that you are only allowed to purchase from one supplier.$)$ Ordering cost is $\backslash (\backslash$$ $40\backslash )$ and annual holding cost is $25$ percent of unit price per unit. Which supplier should be used and what is the optimal order quantity if the intent is to minimize total annual costs? $($round the optimal order quantity to the nearest integer$)$

Their price lists are as follows: