
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 postal rate for first-class mail is 10 cents for every half ounce or fraction thereof. However, for letters weighing more than 5 ounces, there is a discount of 2 cents per ounce for every ounce after the fifth ounce. Calculate the cost in cents of first-class postage on a letter weighing $W$ ounces.
A) $10 \cdot 2W$
B) $10 \cdot \lceil 2W \rceil$
C) $10 \cdot \lceil 2W \rceil - \max(0, 2W - 10)$
D) $10 \cdot \lceil W \rceil$
E) $20 \cdot \lceil 2W \rceil - 2W$

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