
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
College student Xiaomin participated in a summer internship program, and agreed with the company that her compensation for one month (30 days) would be one $M$ type tablet and 1500 yuan in cash. However, due to personal reasons, she ended the internship after working for 20 days. When settling the salary, the company gave her one tablet of that type and 300 yuan in cash.  
$(1)$ How much is this $M$ type tablet worth?  
$(2)$ If Xiaomin works for $m$ days, and the above salary payment standard is converted into cash, how much compensation should she receive (expressed as an algebraic expression involving $m$)?

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