
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 middle school cafeteria regularly purchases rice from a grain store at a price of 1500 yuan per ton. Each time rice is purchased, a transportation fee of 100 yuan is required. The cafeteria needs 1 ton of rice per day, and the storage cost for rice is 2 yuan per ton per day (less than one day is counted as one day). Assuming the cafeteria purchases rice on the day it runs out.

(1) How often should the cafeteria purchase rice to minimize the total daily cost?
(2) The grain store offers a discount: if the purchase quantity is not less than 20 tons at a time, the price of rice can enjoy a 5% discount (i.e., 95% of the original price). Can the cafeteria accept this discount condition? Please explain your reason.

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