An online ticket seller processes $8,200$ checks per month. Of these, $64$ percent are for $$39$ while the remainder are for $$69.$ The $$39$ checks have a collection delay of $2\mathrm{.}1$ days, on average, while the $$69$ checks are delayed $1\mathrm{.}8$ days, on average. Assume each month has $30$ days. The interest rate is $5\mathrm{.}2$ percent per year. What is the maximum amount that should be paid to reduce the weighted average float to $1\mathrm{.}5$ days?

$$5,825$

$$8,650$

$$10,990$

$$9,675$

$$6,130$