
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 merchant has a product with a cost of $a$ yuan. If sold at the beginning of the month, a profit of 100 yuan can be made, and then the principal and profit are deposited into the bank. The bank's monthly interest rate is 2.4%. If sold at the end of the month, a profit of 120 yuan can be made, but a storage fee of 5 yuan must be paid. Discuss the value of $a$ to determine whether it is better to sell the product at the beginning or the end of the month.

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