
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
You are the owner of a company that sells Tesla Model S electric cars. The purchase price of one car is 2.5 million rubles. To bring one car across the border, you need to pay customs duties and fees amounting to 2 million rubles per car. The monthly office rent is 50,000 rubles, the total monthly salary of employees is 370,000 rubles, and other monthly expenses, including car import, office rental for placement and storage of imported cars, are fixed and amount to 180,000 rubles. Your store received an order for 30 Tesla Model S cars.

a) Determine the minimum possible price per car (in million rubles) at which you are willing to accept this order. Assume that all operations related to fulfilling this order can be completed within one month and no other car orders will be received this month.
b) A company has appeared in the city selling these cars for 5.3 million rubles, providing a charging station worth 400,000 rubles for free with each purchased car. What is the minimum order volume at which you could compete with this company if charging stations can be freely purchased on the competitive market?

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