Use the following Cobb$-$Douglas production function,

$Q=437K^{0\mathrm{.}33}{L}^{0\mathrm{.}29}$

a$)$ What is the marginal product of capital? This will be a function of Capital and Labor.

$M{P}_K(K,L)=$

$$ What is the marginal product of labor? This will also be a function of Capital and Labor.

$M{P}_L(K,L)=$

$$

b$)$ When $K=4\mathrm{.}4,L=4\mathrm{.}2,$ what is the quantity produced? $Q=$ c$)$ If capital is fixed at $K=4\mathrm{.}4,$ the output price is $P=10$ and wages is $w=50$ and the rental rate are $r=30$ what is the profit maximizing labor, $L?$ what is the profit maximizing quantity, $Q$

what is the maximum profit?

A is answered, please answer fully B and C$!!$