
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 production of ceramic items consists of 3 consecutive stages: shaping the ceramic item on a potter's wheel for 15 minutes, drying for 10 minutes, and firing for 30 minutes. It is required to produce 75 items. How should 13 workers be distributed between shapers and firers for the 1st and 3rd stages respectively throughout the allocated stage time (workers are not needed for the drying stage) to complete the work in the shortest possible time? Record the shortest time (in minutes) needed to complete all the work as a number without specifying the unit.

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