Firm's problem $($i$.$e$.$ maximize profits$)$:maxpo$($l$,$k$)-$ wl$-$rkWhich lead to the following equations:aQp$--$WalPut another way,price x MPL $=$ wageprice x MPK $=$ rental rate of capital $($price of 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?