
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 certain residential area is planning to build 50 parking spaces to solve the parking problem. It is known that building 1 above-ground parking space and 1 underground parking space costs 0.6 million yuan; building 3 above-ground parking spaces and 2 underground parking spaces costs 1.3 million yuan.  
$(1)$ How much does it cost to build 1 above-ground parking space and 1 underground parking space in the residential area?  
$(2)$ The property management department of the residential area expects the investment amount to exceed 12 million yuan but not exceed 13 million yuan. How many parking space construction plans are there?

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