If they can manage it in 3min rather than 5, it's up to $13.70/hr.
Where I am (UK) I think most newspaper delivery people are aged 13-18, and while there's far less of them about than when I was a kid, I wouldn't be surprised if >50% would be willing to do it to earn an extra $4.80/week.
Of course, you also need to trust the person to come into your house every day, either giving them a key or being available to let them in each time; and while I skipped over inflation it's likely that $250 in ten years has devalued a lot - but maybe you could get a yea for just $150-200/yr at the start to have room for annual increases...
So I don't think your curt dismissal adds much to the conversation.
And that's feasibility thinking about US/UK people, as konart points out in their comment there are countries where $250/yr stretches much further than in wealthy, high-CoL countries.
So all in all, USD 2500 seems unrealistic.
And as mentioned, the person who suggested it being possible was talking about using an existing physical subscription not paying for that within the $2.5k
No one's actually going to pay some random mail delivery person to come into their house every day and hang up a newspaper for ten years.
Sure, most people wouldn't want that, and most people wouldn't want to spend $2500 getting a newspaper they'd already paying for to be hung on the wall. But that's not the same as "no you couldn't [do that at all]".
365 days per year at £0.25 per day is £91.25 per year.
The most popular printed newspaper is the Daily Mail, I have no idea what the wholesale cost is, but the retail price is £30.33 per month So, worst case is £363.96 per year - but my expectation is that it is half that.
$2500 USD is currently £1946.66
£91.25 + £363.96 = £455.21
So, you totally can get the paper delivered by a 13 year old boy for ~4.25 years, by which time he'll retire off to college. However, if my premise is that wholesale cost of the paper is half what I thought it is, then 10 years sounds about right.
EDIT: I checked with him, and if you live close enough he'd be willing to come in and stick it on your wall every day, as long as he can get home in time for school.
Happy to be proven wrong, but USD 2500 seems unrealistic.
If I pay the remaining amount of $2166.42 to the delivery person over 10 years, that's about ₹1493 per month, which is over 6 times the cost of newspaper subscription. For that amount, yeah, they'll be happy to hang the paper on a wall.
edit: oops I noticed the other comment I replied to wasn't you, but anyway - https://news.ycombinator.com/item?id=36629620
With millions of people living in conditions where even safe drinkable water is not something you are guaranteed to get - 250$/year equivalent seems wild.