Firm's problem $($i$.$e$.$ maximize profits$)$:

$ma{x}_{l,k}pQ(l,k)-wl-rk$

Which lead to the following equations:

$p\frac{\text{d}\text{e}\text{l}\text{Q}}{\text{d}\text{e}\text{l}\text{l}}=w$

$p\frac{\text{d}\text{e}\text{l}\text{Q}}{\text{d}\text{e}\text{l}\text{k}}=r$

Put another way,

price $MPL=$ wage

price $MPK=$ rental rate $of$ capital $(priceof$ capital$)$

Part A: One implication of this is that profit maximizing firms should set the marginal revenue product of labor equal to the wage rate. If men and women are equally productive $($MPL is the same$),$ is there an argument for a firm wanting to maximize its profit to pay women less? If the labor market is competitive, and female workers were paid less at a specific firm, would you expect them to look for other work and be hired by a different firm?

Part B: Suppose workers who have many years of experience have higher marginal products $($i$.$e$.$ firms depend on them more to produce their product$),$ should profit maximizing firms pay them more?