
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
Given that a store purchases 40 boxes of neutral pens at a cost of $m$ yuan per box in wholesale market A, and 60 boxes of neutral pens at a cost of $n$ yuan per box in wholesale market B, where $m > n$, determine whether the store will make a profit, incur a loss, break even, or that the profit or loss cannot be determined, after selling these neutral pens at a price of $\frac{m+n}{2}$ yuan per box.

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