If the productivity of an economy is fixed but the supply of currency decreases, then each unit of remaining currency must store greater value

Productivity will increase if less currencies are printed

Printing extra notes must be followed by increase in production and increase in economic activity

Why printing money usually causes inflation. In normal circumstance (e.g. no shut down, most people employed) if you print more money and the number of goods remains the same, we will get higher prices. Because consumers have more money they want to buy more goods.

you'd find no "formula" as such. but, one factor that tells the government of a country how much money they can print without increasing the inflation is the "raw wealth" of that country; e.g. the amount of Gold that country owns.

x = per year profit turnover - per year loss
if x is negative then print upto loss amount

I think the illusion we create for this is exactly that an illusion. It's hard to estimate with unknown forces like human nature, over population, disease, bacteria, infections. Then natural Forces of the planet such as fires earthquakes, and large storms. All extremely hard to estimate?

An exchange rate is how much it costs to exchange one currency for another. Exchange rates fluctuate constantly throughout the week as currencies are actively traded. This pushes the price up and down, similar to other assets such as gold or stocks. The market price of a currency—how many U.S. dollars it takes to buy a Canadian dollar for example—is different than the rate you will receive from your bank when you exchange currency. It is often a key element of financial trilemmas. Here's how exchange rates work, and how to figure out if you are getting a good deal.

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The government has financial support in dollars in the central bank
And in my opinion, the government can generate money with half of that support and help production with the other half and It will has current assets by exporting the country's resources.