
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
Lou's Fine Shoes decides to shake up their sales strategy. On Friday, all of Thursday's prices are increased by 20%. Over the weekend Lou announces a new dual discount scheme: first, a 15% discount on Monday, followed by an additional 10% off the new price on Tuesday. How much does a pair of shoes cost on Tuesday that cost $30 on Thursday?
**A)** $26.46\
**B)** $27.54\
**C)** $28.62\
**D)** $29.70\
**E)** $30.78

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