
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 hospital prepares nutritional meals for post-operative patients using two types of raw materials, A and B. Every 10g of material A contains 5 units of protein and 10 units of vitamin C, and costs 2 yuan; every 10g of material B contains 6 units of protein and 20 units of vitamin C, and costs 3 yuan. If each meal requires 50 units of protein and 140 units of vitamin C, how should materials A and B be used to meet the nutritional requirements while minimizing the cost for the patients? The minimum cost is ______.

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