
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
Zenobia is planning a cookout and wishes to buy hot dogs, which come in packages of 10, and buns, which come in packages of 12. She wants to buy an equal number of hot dogs and buns while also minimizing the total packaging used. Each package of hot dogs generates 0.4 units of waste, and each package of buns produces 0.3 units of waste. What is the minimal number of hot dog packages she must buy and the least waste generated?

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