Find the maximum number of units that can be sold and the

Question

Advertising: Sound Software estimates that it will sell S units of a program after spending a dollars on advertising, where

N(α) = -α² + 300a + 6, 0 ≤ α ≤ 300.

and a is in thousands of dollars. Find the maximum number of units that can be sold and the amount that must be spent on advertising in order to achieve that maximum.