
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
In a perfectly competitive market, the demand function for a certain good is given by $\mathrm{Q}_{\mathrm{d}}(\mathrm{p})=150-\mathrm{p}$, and the supply function for this good is $\mathrm{Q}_{\mathrm{s}}(\mathrm{p})=3 \mathrm{p}-10$. As a result of a sharp increase in the number of consumers of this good, under other equal conditions, the demand for it increased by a factor of $\alpha$ at each possible price level. As a result, the price of the good increased by $25 \%$. Find the value of $\alpha$.

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