
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 toy factory plans to produce 700 units of a certain toy in a week, with an average daily production of 100 units. However, due to various reasons, the actual daily production deviates from the planned quantity. The table below shows the production situation for a week (positive for overproduction and negative for underproduction):

| Day of the Week | Monday | Tuesday | Wednesday | Thursday | Friday | Saturday | Sunday |
|-----------------|--------|---------|-----------|----------|--------|----------|--------|
| Production Deviation | +5 | -2 | -4 | +13 | -6 | +6 | -3 |

(1) According to the recorded data, the factory produced **113** toys on Thursday.  
(2) The day with the highest production exceeds the day with the lowest production by **19** toys.  
(3) According to the recorded data, the factory actually produced **709** toys this week.  
(4) The factory implements a piece-rate wage system every week, where each toy produced earns $20. If the task is completed in excess, an additional $5 is awarded for each extra toy, and a deduction of $4 is made for each toy produced less. What is the total wage of the workers in the factory for this week?

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