
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

In a small country called Konyr, the beloved product "rawot" is sold in a perfectly competitive market. The Ministry of Economic Development of this country conducts research on the state of the economy and collects data on various markets, including the market for the product "rawot". The ministry's analysts have gathered the following information about the "rawot" market:

- Demand and supply are always represented by linear functions and change only seasonally. Demand varies in each season, while supply changes only twice a year. In spring and autumn, supply is the same as in summer.
- If the demand for "rawot" is halved in spring compared to summer, its sales volume decreases by 1.5 times.
- In spring, the total revenue of "rawot" producers is 90 monetary units of Konyr.
- In winter, when supply is halved compared to other seasons and demand falls to half of the spring demand, the quantity of "rawot" sold in the market is only 5 units.
- At any time of the year, "rawot" producers would agree to sell it only if its price is more than 4 monetary units. At a price of 4 or less, producers do not produce "rawot".

You need to help the Ministry of Economic Development of Konyr answer the following questions for its government:

1) If the price of "rawot" is "frozen" at the winter price for the entire year, what will be the deficit of this product in summer?
2) If no intervention is made in the price formation of the "rawot" market, what will be the total expenditures on purchasing this product by the residents of Konyr in summer?
3) At what minimum price will the residents of Konyr refuse to buy "rawot"? Does this price depend on the season?

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