The utility of the union is given by: U(w, E) = 5wE 15E2 + 20. The profit of the firm is given by: (w, E) = 2E E2 wE , where w is wage and E is employment. (1) (5 points) What is the labor supply? (2) (5 points) What is the labor demand? (3) (5 points) What is the equilibrium wage and employment levels under the monopoly-union model? (4) (5 points) What is the contracts curve under the efficient-contracts model?