
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 farmer packaged the oranges from his orchard and put them up for sale online. The original plan was to sell $10$ boxes per day, but due to various reasons, the actual daily sales volume deviated from the planned amount. The table below shows the sales situation of a week (positive for exceeding the plan, negative for falling short, unit: boxes).

| Day of the Week | Monday | Tuesday | Wednesday | Thursday | Friday | Saturday | Sunday |
|-----------------|--------|---------|-----------|----------|--------|----------|--------|
| Deviation from Plan | $+4$ | $-3$ | $-5$ | $+7$ | $-8$ | $+21$ | $-6$ |

$(1)$ According to the recorded data, how many boxes were sold in the first five days?
$(2)$ Did the actual total sales volume for the week reach the planned quantity?
$(3)$ If the selling price of each box of oranges is $80$ yuan, and a shipping fee of $7$ yuan per box is required, how much did the farmer earn in total this week?

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