Maximizing Quadratic Profit Function

A certain company models the growth of its profits over time using the quadratic equation $$P(t) = -2t^2 + 12t + 36$$, where $$P$$ represents the profit in thousands of dollars, and $$t$$ is the time in years since the start of the model.

To determine when the company will reach its maximum profit, find the value of $$t$$ that maximizes the profit function. Calculate the maximum profit as well and enter your answer as a single value in the grid below.