oh just... this is why full plate is so expensive in 5e - it's for game balance rather than for the realistic fidelity of the setting.
Another example of the economics here are the rules governing how much income an artisan (such as a blacksmith) makes per day, compared against how long it takes to make a suit of full plate, and how much it costs. Even with the updated guidelines that an artisan "makes" 1gp per day, that means a suit of full plate is about five years worth of income, and many stores in big cities have sets just on the shelf.
These rules are a little complex, because the "take home pay" of labourers and artisans in the rules is after living expenses, and a blacksmith has to maintain rent on their forge, as well as purchase raw materials, but even factoring all that stuff in, the cost of full plate just doesn't make economic sense in the context of the world, the high price is there because it increases one of your stats permanently - and to boot, it's a stat that comes up constantly in play. A single point of AC is more powerful than a single point of almost any other stat in the game, with the exception of your class' primary stat or your proficiency bonus.