
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 distributor sells a certain agricultural product. In one sales quarter, the distributor makes a profit of 500 yuan for each ton of the product sold, and incurs a loss of 300 yuan for each ton of the product unsold. The distributor purchased 130 tons of the agricultural product for the next sales quarter. Let x (unit: tons, 100 ≤ x ≤ 150) represent the market demand for the next sales quarter, and y (unit: yuan) represent the profit from selling the agricultural product in the next sales quarter.  
(Ⅰ) Express y as a function of x;  
(Ⅱ) Determine the range of market demand x when the profit y in the next sales quarter is not less than 57,000 yuan.

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