
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
A certain product costs $5$ per unit and is sold at $14$ per unit, with a weekly sales volume of $75$ units. If the price is reduced, sales volume can increase, and the increase in the number of units sold weekly, $m$, is directly proportional to the square of the price reduction, $x$ ($0 \leq x < 9$). When the price is reduced by $1$ unit, the weekly sales volume increases by $5$ units.

1. Express the weekly sales profit, $y$, as a function of $x$.
2. How should the product be priced to maximize weekly sales profit?

Present the answer in LaTex format: \boxed{Your answer}
user