Ponds Mega Computers Inc. (PMC) estimates that the annual demand for gaming computer controllers is 7106 units, spread uniformly throughout the year. It costs PMC a fixed amount of $85 each time it places an order for the controller from its supplier. Inventory carrying cost is $27 per unit per year. PMC's supplier for the controllers offers them the following price-break scheme: Based on the above cost parameters, what should be the optimal order quantity PMC uses each time it orders the gaming computer controllers from its supplier? What would be the unit purchase price they would have to pay for each controller? Your response should be adequately supported by quantitative analysis. (Roundup the number of units to the nearest integer and keep 2 decimal places for dollar (\$) amounts.)