Problem #$9$: 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 $$239,000,$ while a Euro is $$1\mathrm{.}50$ Canadian, and the index is $S=18,000.$

If the partial derivatives of $P$ have values $\frac{\text{d}\text{e}\text{l}\text{P}}{\text{d}\text{e}\text{l}\text{E}}=76,000,$ and $\frac{\text{d}\text{e}\text{l}\text{P}}{\text{d}\text{e}\text{l}\text{S}}=-20,$ what approximately will the portfolio value be if the price of a Eurn goes down by $0\mathrm{.}03$ and the stock index goes down by $374?$

Problem #$9$: