Question $1$:

Consider the Cobb$-$Douglas production function: $f(x,y)=200x^{0\mathrm{.}7}{y}^{0\mathrm{.}3}$ when $x=1000$ and $y=500$

a$)$ Find the marginal productivity of labor, $\frac{\text{d}\text{e}\text{l}\text{f}}{\text{d}\text{e}\text{l}\text{x}}$

b$)$ Find the marginal productivity of capital, $\frac{\text{d}\text{e}\text{l}\text{f}}{\text{d}\text{e}\text{l}\text{y}}$

Question $2$: