A portfolio has a value P$($E$,$S$),$ so that the value P is a function of E$,$ the price of a Euro in Canadian dollars, and S$,$ the level of the TSX stock index. Presently the portfolio is worth $$382,000,$ while a Euro is $$1\mathrm{.}50$ Canadian, and the index is $$S $=18,000.$

If the partial derivatives of P have values $$

$$P

$$E

$=87,000,$ and $$

$$P

$$S

$=16,$ what approximately will the portfolio value be if the price of a Euro goes down by $0\mathrm{.}03$ and the stock index goes down by $364?$