I'd say screw it, get rid of nickles and dimes as well. Quarters can stay, for now. It's a complete waste of money and time continuing to mint such low-value currency. It can't be used for just about anything. Unfortunately, I do see the problem with part of this. For a handful of items where it does matter, it will force people to use cards more if they want to avoid rounding. And the card providers already have a c…
A noticeable number of places around me in an urban area in the USA already now have signs up saying they won't make any coin change at all! Pay with a card, or exact change, or they'll round up to the dollar keep the difference. Sometimes the sign says "due to the penny shortage" and has been up for a year or whatever, I dunno. But they aren't just not giving you pennies in your change, they are refusing any coins i…
If it goes into the safe, it's nearly impossible to steal because there's a time lock preventing the cashier from accessing it. But you can't make change.
This means you have a optimization problem to have the minimum possible cash in the register to meet all change needs.
Eliminating denominations makes the optimization problem easier, if nothing else.