What is the correct way to issue banknotes — why should they be issued in the largest denominations possible?

The correct way to dispense banknotes is to give the amount in the largest denominations possible. This is due to several reasons:

1. Minimizing the number of banknotes: fewer banknotes are more convenient for the user and the cashier.
2. Reducing wear and confusion: fewer banknotes decrease the likelihood of errors and wear.
3. Optimizing cashier work: saving time on counting and dispensing.

Here is an example of a Python algorithm for dispensing the amount with the minimum number of banknotes:

def dispense_cash(amount, denominations):
    denominations.sort(reverse=True)
    result = {}
    for denom in denominations:
        count = amount // denom
        if count > 0:
            result[denom] = count
            amount -= denom * count
    if amount != 0:
        raise ValueError("It is impossible to dispense the exact amount with the given banknotes")
    return result

# Example usage:
denominations = [5000, 2000, 1000, 500, 100]
print(dispense_cash(7600, denominations))
# Output: {5000: 1, 2000: 1, 500: 1, 100: 1}

Thus, dispensing the amount in the largest denominations simplifies the process and increases convenience.