
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 vegetable planting base plans to renovate two types of vegetable greenhouses, A and B, in order to increase vegetable yield. According to the budget, renovating 2 type A greenhouses requires $6$ thousand yuan more than renovating 1 type B greenhouse, and renovating 1 type A greenhouse and 2 type B greenhouses together requires $48$ thousand yuan.  
$(1)$ How much money is needed to renovate 1 type A greenhouse and 1 type B greenhouse respectively?  
$(2)$ It is known that it takes 5 days to renovate 1 type A greenhouse and 3 days to renovate 1 type B greenhouse. The base plans to renovate a total of 8 type A and type B vegetable greenhouses, with a maximum renovation budget of $128$ thousand yuan, and the renovation time should not exceed 35 days. What are the possible renovation plans?

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