Problem $4$B: Quantity Discount Inventory Problem

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

$1199$ $$14\mathrm{.}001149$ $$14\mathrm{.}10$

$200-49913\mathrm{.}80150-34913\mathrm{.}90$

$500+13\mathrm{.}60350+13\mathrm{.}70$

The ordering cost is $$40$ and the annual holding cost is $25$ percent of the unit price. Which supplier should be used and what order quantity is optimal if the intent is to minimize total annual cost?