question for Gene or a math whiz

a real world problem:

person with x number of credit cards, each with different interest rate,
compounded, adding up to a total debt d.

simultaneously, one wants to save in an account(s) that has a compounded
interest rate.

what is the equation for finding the minimax (i guess really the maximum gain
and minimum loss) of the money?

thanks in advance,
aaron.

> a real world problem:
>
> person with x number of credit cards, each with different
> interest rate, compounded, adding up to a total debt d.
>
> simultaneously, one wants to save in an account(s) that has a
> compounded interest rate.
>
> what is the equation for finding the minimax (i guess really
> the maximum gain and minimum loss) of the money?

Since it is highly unlikely that any of the credit cards
cost less per dollar than any savings account (or any kind of
investment) will reliably pay, the answer is to pay off
your credit cards before saving.

-Carl