Rose Resources faces a smooth annual demand for cash of $$11\mathrm{.}5$ million, incurs transaction costs of $$400$ every time they sell marketable securities$,$ and can earn $5\mathrm{.}4$ percent on their marketable securities$.$ What will be their optimal cash replenishment level? $($Round your answer to $2$ decimal place

Multiple Choice

$$29,186\mathrm{.}50$

$$412,759\mathrm{.}46$

$$291,865\mathrm{.}01$

$$35,892\mathrm{.}13$