
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 group company has two subsidiaries, A and B, both of which had a production value of a million yuan in January 2012. The monthly production value of company A increases by a fixed amount compared to the previous month, while the monthly production value of company B increases by a fixed percentage compared to the previous month. In January 2013, the production values of the two companies were equal again.
(1) Compare the production values of companies A and B in July 2012 and explain the reason;
(2) In order to increase production capacity, company A decided to invest 3.2 million yuan in equipment, which was put into use from February 1, 2013. The maintenance cost for the n-th day of use is $$\frac{n+49}{10}$$ yuan ($n\in\mathbb{N}^*$). Calculate the average daily cost (including the cost of the equipment) for the first n days and find the number of days of use when the average daily cost is minimized.

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