
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
Technological innovation is the driving force for the development of enterprises and is an important foundation for an enterprise to achieve healthy and sustainable development. A certain technology company has recently developed a large electronic device and put it into production. Through research, the monthly profit $p(x)$ (in units of ten thousand yuan) obtained by the company from producing this device is related to the monthly research and development expenditure $x$ (15 ≤ $x$ ≤ 40, in units of ten thousand yuan): when the monthly research and development expenditure is not more than 36 thousand yuan, $p(x) = -\frac{1}{10}x^2 + 8x - 90$; when the monthly research and development expenditure is more than 36 thousand yuan, $p(x) = 0.4x + 54$. For the company, the research and development profit rate $y = \frac{p(x)}{x} \times 100\%$ is an important basis for optimizing enterprise management. The larger $y$ is, the higher the research and development profit rate, and vice versa.

(1) Find the maximum value of the research and development profit rate $y$ for the company producing this device and the corresponding value of the monthly research and development expenditure $x$.

(2) If the research and development profit rate of the company producing this device is not less than 190%, find the range of values for the monthly research and development expenditure $x$.

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