All help is appreciated, thank you.

4. (20 points) Consider a rm in a competitive market that firm that produces a single output (y) with two inputs (X1 and X2) with the Cobb-Douglas production function, y = x1 \"3x2\". Prices for output and inputs are 13, W1 and W2 respectively. a. b. c. d. What is the level of inputs (factor demand functions) that maximize the prot? What is the level of output (supply anction) that maximize the prot? What is the prot function (maximum obtainable prots given input and output prices)? What is the relationship between the prot function and the factor demand function and the supply mction