
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 breeding farm has to purchase feed regularly. It is known that the farm needs 200 kilograms of feed per day, the price of each kilogram of feed is 1.8 yuan, and the average storage and additional costs for the feed are 0.03 yuan per kilogram per day. Each time feed is purchased, a transportation fee of 300 yuan is paid.

(Ⅰ) Determine the number of days between purchases that will minimize the average daily total cost for the farm.

(Ⅱ) If the feed supplier proposes a discount for purchases of at least 5 tons of feed at a time (at 85% of the original price), should the farm consider taking advantage of this discount condition to minimize the average daily total cost? Please explain your reasoning.

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