
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 car brand's monthly production capacity $y$ (in ten thousand vehicles) and the month $x (3 < x \leqslant 12$ and $x \in N)$ satisfy the relationship $y = a \cdot (\frac{1}{2})^{x-3} + b$. It is known that the production capacity of this car brand in April and May of this year was 1 (ten thousand vehicles) and 1.5 (ten thousand vehicles) respectively. What is the production capacity in July?

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