A supplier for TechGiant Electronics has introduced quantity discounts to encourage larger order quantities of a specific high-performance microchip. The price schedule is

The TechGiant estimates that its annual demand for this item is 10000 units, its ordering cost is $200 per order, and its annual holding cost is 25 percent of the microchip’s unit price. What quantity and price of this high-performance microchip should the TechGiant order to minimize total costs? (You should show all your work to get full credit in this question. You are not receiving the whole point by only showing the final value.)