
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 factory plans to produce 100 bicycles per day in a week, but the actual daily production is as shown in the table below (using the planned quantity as the standard, additional bicycles are recorded as positive numbers, and reduced bicycles are recorded as negative numbers):

| Day of the Week | Monday | Tuesday | Wednesday | Thursday | Friday | Saturday | Sunday |
|-----------------|--------|---------|-----------|----------|--------|----------|--------|
| Production (bicycles) | $-1$ | $+3$ | $-2$ | $+4$ | $+7$ | $-5$ | $-10$ |

$(1)$ How many more bicycles were produced on the day with the highest production compared to the day with the lowest production?  
$(2)$ How many bicycles were produced in total this week?

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