
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 worker spends time in the ratio $1: 2: 3$ to make 1 part $\mathrm{A}$, 1 part $\mathrm{B}$, and 1 part $\mathrm{C}$ respectively. He uses 10 hours to produce 2 parts $\mathrm{A}$, 3 parts $\mathrm{B}$, and 4 parts $\mathrm{C}$. Determine the number of hours needed to produce 14 parts $\mathrm{A}$, 10 parts $\mathrm{B}$, and 2 parts $\mathrm{C}$.

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