A Chemical Company has $$30,000\mathrm{.}00$ to divide among employees in the three departments. It is determined that the happiness derived from the departments upon receiving $t is ln$($t$)$ for the R&D$,2$ln$($t$)$ for the production, and $3$ln$($t$)$ for the marketing. In order to maximize the happiness of all the departments, how this money should be distributed?