
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
Four friends, Alex, Beth, Carlos, and Diana, are baking cookies, all of equal thickness. Each friend uses the same amount of dough, and the cookies have different shapes:
- Alex's cookies are rectangles.
- Beth's cookies are circles with a radius \( r \).
- Carlos' cookies are squares.
- Diana's cookies are regular hexagons.

Alex makes exactly 10 cookies. Each of Alex's rectangular cookies measures 4 units by 5 units. Alex sells his cookies for $0.50 each. To earn the same amount from a single batch, how much should one of Beth's cookies cost in cents if she makes 16 cookies?
A) 30 cents
B) 31.25 cents
C) 32 cents
D) 33 cents
E) 35 cents

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