
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 nutritionist needs to plan lunch and dinner for a child. It is known that one unit of lunch contains 12 units of carbohydrates, 6 units of protein, and 6 units of vitamin C; one unit of dinner contains 8 units of carbohydrates, 6 units of protein, and 10 units of vitamin C. Additionally, the child needs at least 64 units of carbohydrates, 42 units of protein, and 54 units of vitamin C from these two meals.  
If the cost of one unit of lunch and dinner is 2.5 yuan and 4 yuan respectively, then to meet the above nutritional requirements at the minimum cost, how many units of lunch and dinner should the nutritionist plan for the child?

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