
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
The Tan family is visiting an amusement park. There are two children, two adults, and two seniors in their group. The park offers a 30% discount for seniors and a 20% discount for children. Meanwhile, if the group consists of more than 5 people, they receive an additional 10% off the entire bill. Assume that the given price for an adult ticket is $10, and calculate the total amount they must pay if they qualify for all applicable discounts.
A) $40
B) $45
C) $50
D) $54
E) $60

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