A company will begin stocking remote control devices. The expected monthly demand is $800$ units. The controllers can be purchased from either supplier A or supplier B$.$ Their price lists are as follows:

SUPPLIER A

SUPPLIER B

Quantity

Unit Price

Quantity

Unit Price

$1-199$

$$14\mathrm{.}00$

$1149$

$$14\mathrm{.}10$

$200-499$

$$13\mathrm{.}80$

$150-349$

$$13\mathrm{.}90$

$500+$

$$13\mathrm{.}60$

$350+$

$$13\mathrm{.}70$

The ordering cost is $$40$ for Supplier A and $$58$ for Supplier B$,$ and the annual holding cost is $$4$ per unit in both cases.