
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 class is preparing sandwiches for a club night. A cheese sandwich requires $5 \mathrm{dkg}$ of bread, $1 \mathrm{dkg}$ of butter, and $2 \mathrm{dkg}$ of cheese, while a salami sandwich requires $5 \mathrm{dkg}$ of bread, $5 / 3 \mathrm{dkg}$ of butter, and $1 \mathrm{dkg}$ of salami. They have $2 \mathrm{~kg}$ of bread, half a $\mathrm{kg}$ of butter, $60 \mathrm{dkg}$ of cheese, and $20 \mathrm{dkg}$ of salami available.

a) How many sandwiches can be made in total, and how many of these are cheese and how many are salami?

b) If a cheese sandwich is sold for $1.40 \mathrm{Ft}$ and a salami sandwich is sold for $1.90 \mathrm{Ft}$, when will the revenue be maximized?

c) If a cheese sandwich takes 1 minute to make and a salami sandwich takes 2 minutes to make, (for the maximum number of sandwiches) when will they be finished the earliest?

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