
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
A store is offering a promotion on pencils. If you buy 150 pencils, the price is $\$15.50$. Shipping for any quantity of pencils remains at $\$5.75$. Additionally, a special discount of $\$1.00$ is applied to the total cost if the pencil order is 150 or more. What is the average cost per pencil, including the discount and shipping, rounded to the nearest cent?

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