The maintenance fee is $100 a month for each week of timeshare you own. So if you want to use the time share 4 weeks a year you pay $400 a month. After selling all 52 weeks the company is collecting $62,400 a year.
If the unit has been chopped up such that all 52 weeks of the share have been sold, then a combination of people will be paying $100 per week of ownership, every month. Your share of the monthly maintenance is allocated by the number of weeks you "own".
You aren't just paying maintenance for the week that belongs to you. Original calculation of $62400 is correct. Part of the scam is obfuscating from you the true costs of the deal.
If the 52 week-owners knew each other, and could all afford the costs of the share in the first place, they could conceivably form their own LLC, cut out the timeshare company middleman, pay $10k each up front for week-length shares in a $520000 property, and cut their maintenance fee in half, to $50 per share per month (assuming 5% upkeep/utilities/taxes per year). They could even rent out any unused weeks on AirBnB to cut the maintenance charges, or even pay out distributions.
The timeshare people are making bank on the fact that getting up to 52 people to spontaneously come together in a common cause is extremely unlikely. You need a prime mover organizing the whole thing, who is ideally positioned to profit from information asymmetry.
I'm not up to speed on the mathematics, but a matchmaking algorithm that keeps preference data secret until all participants in a trade web commit to a deal that satisfies at least one of those preferences could drive a lot of middlemen and scam-like businesses out of the market.
For instance, you might find an algorithmic pickle agent in the network, and tell it that you could eat one big jar of crisp dill cucumber pickles every two weeks if it costs less than 8 money units, delivered to your door, or one per week if it costs less than 3 money units, committing some number of money units greater than 8 to back a promise to buy at those prices. A small-time pickle-making farmer might tell the agent that they can ship at most 500 jars a week, as long as they get at least 2 money units per jar, or as many as 800 if they can get 4 per jar (cost of hiring a dedicated packer, perhaps). The pickle agent consults with a commodity shipping agent, calculates a billion different ways to move pickles from suppliers to consumers, and then starts moving money and pickles around. Everyone who promised to buy at a certain price is guaranteed to get the goods at that or a lower price, and everyone who promised to sell at a certain price is guaranteed to ship the goods at that or a higher price. The shippers get their fee for moving a package from point A to point B. The agents take their cut to pay for their computation, and for insurance against failed shipments or bad pickles. The system would also need to include distributor/importer/resellers, because some trades just aren't possible unless you pack a whole pallet of pickles, or a whole truckload/shipping container, and break that out for individual orders closer to the consumers.
That's all technically possible with smart contracts, as far as I know, but it would require a huge amount of programming effort to even get the basics correct. And Wal-Mart already has their supply chain, inventory, and distribution software in place.
52 people each buy a week share.
Each person gets charged $100 / month.
So 52 people each pay $1200 / year, which is the $62,400. Which I'm guessing is a bit more than the cost of maintenance