Part 1 (2 points) 0 See Hint Two rms compete as Stackelberg duopolists in a marketwith inverse demand given byp = 212.00 2Q,where pis the perunit price, q_.-is the outputfor Firm ileither Firm 1 or 2), and Q = q] + (12. Firm 1 is the leader in this market. Firm 1 has a constant marginal cost of $4 per unit, and Firm 2 has aconstant marginal cost of $8 per unit. Assume no xed costs. What is the optimal outputfor Firm 1? {Round to two decimals if necessary.) What is the optimal outputfor Firm 2? {Round to two decimals if necessary.) Part 2 (1 point) 0 See Hint What is the equilibrium price in this market? $ {Round to two decimals if necessary.) Part 3 (2 points) 0 See Hint What is the prot for each rm? Firm 1 prot: 35 (Round to two decimals if necessary.) Firm 2 prot: 35 (Round to two decimals if necessary.)