
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 fruit shop purchased a certain type of fruit at a cost of $20$ yuan/kg. After market research, it was found that the future sales price $P$ (yuan/kg) of this fruit over $30$ days and the time $t$ (days) have the function relationship $P= \frac {1}{4}t+30$, and the sales volume $Q$ (kg) and the time $t$ (days) have the function relationship $Q=-2t+120$.
- (Ⅰ) On which day will the fruit shop's sales profit be the highest? What is the maximum profit?
- (Ⅱ) In response to the government's call for "targeted poverty alleviation," the shop decides to donate $n$ (where $n∈N$) yuan to the targeted poverty alleviation for every 1kg of fruit sold. To ensure no loss after donation and that the profit increases over time $t$ (where $t∈N$), find the value of the donation amount $n$.

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