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 $$408,000,$ while a Euro is $$1\mathrm{.}50$

Canadian, and the index is $S=18,000.$

If the partial derivatives of $P$ have values $\frac{\text{d}\text{e}\text{l}\text{P}}{\text{d}\text{e}\text{l}\text{E}}=65,000,$ and $\frac{\text{d}\text{e}\text{l}\text{P}}{\text{d}\text{e}\text{l}\text{S}}=-15,$ what approximately will the portfolio

value be if the price of a Euro goes down by $0\mathrm{.}06$ and the stock index goes down by $662?$

Problem #$9$:

Submit Problem #$9$ for Grading