Can I get help with question 1 and 2 please

QUESTION 2 [20 marks] 1 2 1 4 A rm has two variable factors and a production function, f (331,552) 2 . The price of its output is 4. Factor 1 receives a wage of an and factor 2 receives a wage of 'HJ'Q. 2 1. [5 marks] Write an equation that says that the value of the marginal product of factor 1 is equal to the wage of factor 1 and an equation that says that the value of the marginal product of factor 2 is equal to the wage of factor 2. Solve two equations in the two unknowns, 3:1 and 3:2, to give the amounts of factors 1 and 2 that maximize the rm's prots as a function of m1 and 11:2. Determine a\"; and a; when this rm maximizes its prot. 2. [6 marks] Now, solve the prot maximization problem of the rm by using the Lagrangian method. Show that the answer you found in (1) is consistent with the one you found with Lagrangian method