Mathematico | Mathematico

At a given time $t$ hours after noon, the value $P$ of a stock on the market is modeled by

P = 110 - (2 t - 1)^{2} (t - 2), 0 \leq t \leq 3

A day trader plans to buy $100$ stocks and then sell them to make the maximum possible profit.

At what time should she buy, and at what time should she sell?
What is the maximum profit the trader could make buy buying and then selling at these times?

Buy low, sell high.

Expand the cubic and find

\frac{d P}{d t}