
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 unit organized $30$ employees to visit a scenic spot together. The ticket price for the scenic spot is $80$ yuan per person. The scenic spot stipulates that a group ticket can be purchased when there are at least $30$ people, and the ticket price is discounted by $20\%$. On this day, which happens to be Mother's Day, the scenic spot is offering a promotion where the ticket price for women is discounted by $50\%$. However, the two discounts cannot be enjoyed simultaneously. Please help them choose the most cost-effective ticket purchasing plan through calculation.

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