
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
Art, Roger, Paul, and Trisha are baking cookies, with all cookies having uniform thickness. The cookies are shaped as follows:
- Art's cookies are trapezoids;
- Roger's cookies are rectangles;
- Paul's cookies are parallelograms;
- Trisha's cookies are triangles.
Every friend uses the same amount of dough. Art makes precisely 15 trapezoidal cookies. If we assume the bases of Art's trapezoids are 4 units and 6 units and the height is 4 units, how much should Roger charge per rectangular cookie to earn the same amount from a batch if he makes 15 cookies? Art sells his cookies for 80 cents each.
A) 60 cents
B) 70 cents
C) 80 cents
D) 90 cents
E) 100 cents

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