
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
How to design a sales plan

- Material 1: A certain online store purchases 550 notebooks at a price of $6$ per book, and sells them at prices between $9$ and $12, including $9$ and $12. To understand the sales volume of notebooks at different prices, sales were made at different prices from July to October, as shown in Table 1, where sales volume is based on 100 books, with the excess recorded as positive and the shortfall recorded as negative.

- Material 2: The online store plans to sell the remaining notebooks in November and December, with a total sales profit of at least $800 for the two months.

- Task 1: Calculate the remaining inventory after sales. Find the number of notebooks left in the online store after sales over these 4 months.

- Task 2: Compare profit situations. Find the month with the highest monthly profit over the 4 months and calculate the profit for that month.

- Task 3: Design a sales plan. Assuming that the price-to-sales relationship in November and December corresponds to Table 1, design a pricing plan based on Material 2 and fill in the table (sales volume based on 100 books, with the excess recorded as positive).

| Month    | Price (元) | Sales (books) |
|----------|------------|---------------|
| November | ______     | ______        |
| December | ______     | ______        |

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