
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 bicycle factory plans to produce 700 bicycles in a week, with an average daily production of 100 bicycles. Due to various reasons, the actual daily production deviates from the planned quantity. The table below shows the production situation for a week (positive values indicate overproduction, negative values indicate underproduction):

| Day of the Week | Monday | Tuesday | Wednesday | Thursday | Friday | Saturday | Sunday |
|-----------------|--------|---------|-----------|----------|--------|----------|--------|
| Production Deviation | +5 | -2 | -4 | +13 | -10 | +16 | -9 |

$(1)$ According to the records, the total production for the first four days is ______ bicycles;<br/>
$(2)$ The day with the highest production exceeds the day with the lowest production by ______ bicycles;<br/>
$(3)$ The factory implements a piece-rate wage system (weekly pay). Each bicycle produced in a week earns the worker $60, with an additional $15 for each bicycle produced beyond the target and a deduction of $20 for each bicycle under the target. What is the total wage for the workers in the factory for this week?

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