
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
Mrs. Jenkins has three packages, labeled P1, P2, and P3, that need to be shipped. Her scale, however, only provides accurate readings between 80 pounds and 160 pounds. The combined weights of the packages when weighed in pairs are recorded as 108 pounds, 132 pounds, and 138 pounds. Determine the total weight of the three packages ensuring no individual package weighs less than 40 pounds.
**A)** 174 pounds
**B)** 180 pounds
**C)** 187 pounds
**D)** 189 pounds
**E)** 196 pounds

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