
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 grain station purchased $10$ bags of wheat, and the recorded weights (in units of $kg) are as follows: $91$, $92$, $90$, $89$, $89$, $91.2$, $88.9$, $91.8$, $91.1$, $88$. If each bag of wheat is supposed to weigh $90kg$.  
$(1)$ How many kilograms does the total weight of these $10$ bags of wheat exceed or fall short of?  
$(2)$ A certain store purchases these $10$ bags of wheat from the grain station at a price of $100$ yuan per bag, grinds them into flour, and retails them at a price of $4 yuan/kg$. It is known that $1kg$ of wheat can be ground into $0.7kg$ of flour on average. It costs $500$ yuan to process all $10$ bags of wheat into flour. After selling all the flour, how much profit can this store make?

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