The XY$\%$ Corporation has a special petty cash fund it uses for a known steady state flow of contributions to charity. The corporatio periodically replenishes this fund by withdrawing cash from it savings bank account $($which pays $4$ percent interest on deposits$)$

The fund is never allowed to run out. A bank messenger is paid $$5\mathrm{.}0$ per delivery of cash from the bank. If the optimal withdrawal sched ule involves nine withdrawals per year, what is the dollar volume c annual contributions$$to$$charity$?$