I think you may have the wrong idea about calculations regarding a cleaning fee. While it is true you need to clean before and after a stay, only one cleaning fee applies to the stay as the before cleaning fee was covered by the previous guest’s cleaning fee.
For example for 10 stays you need 11 cleanings and the total cleaning fees are divided by 11.
There is also the cost of doing business. Most people who start an airbnb figure all cleaning costs should be covered by the guest stay from the start. While this is ideal, when starting up there are always more costs and it may not be possible to fully be compensated for the cleaning fee. Most businesses factor in the cost of doing business into their actual customer fees and increase it as they need to if their own operating costs increase.
Over time you will need to make sure your Airbnb business is profiting to see if it is advisable to continue and one cannot decide this immediately but usually over the course of a year to see how each quarter and month performs.
You will also need to keep track of how you earn and how much you spend on maintaining the rental (replacing sheets, consumables like toilet paper, paper towels, soap, toiletries, towels, rugs, taxes, any snacks/drinks provided, fixing scruffs or dings on the wall, unexpected damage (we had some guests who didn’t close the shower curtain well and it caused some water damage to the wall - we’ve since put magnetic closures on the curtain and weights to help the curtain from opening as we have a low lip for the shower to step into and put better silicone caulking in the shower), another guest broke a plank in the bed frame), upgrades to the space (shelving, painting an accent wall, furniture, decor, a washer/dryer, a/c, ceiling fan, TV, more pots/pans or kitchenware), etc.
Just some thoughts to help others out. It’s also advisable to have a separate bank account for running your Airbnb and ideally an LLC for tax purposes (although you could run it through your own SSN for a while depending on how much you profit - please ask an accountant or tax advisor on this). Many people I’ve spoken to sometimes don’t think of these things when starting this adventure.
Happy hosting!