
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
In a certain region, the remote geographical environment severely restricts economic development, and a certain local specialty product can only be sold locally. The profit obtained from a government investment of $x$ ten thousand yuan in this region is given by $P = -\frac{1}{160}(x-40)^{2} + 10$ (ten thousand yuan). According to development policies, the region's government plans to develop this specialty product in a ten-year economic development plan. The special fiscal appropriation for this project is 60 ten thousand yuan each year before and after the development.

If the product is to be developed, 30 ten thousand yuan must be taken from the annual appropriation of 60 ten thousand yuan for the first 5 years to build a road, and the road can be completed within 5 years. After the road is completed, this specialty product can be sold in other locations, and the profit from an investment of $x$ ten thousand yuan is $Q = -\frac{159}{160}(60-x)^{2} + \frac{119}{2}(60-x)$ (ten thousand yuan).

From the perspective of total profit over ten years, does this project have development value?

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