Suppose two firms engage in simultaneous quantity competition. Both firms have Omarginal cost. Firm A: P(Q)= 24-Q Firm B: P(Q)= 24-2Q a) Find the Nash Equilibrium quantities q^NE and profits. (b) Find the Monopoly Quantity QM and Profit. (c) Now suppose the game is repeated infinitely and each firm has a common discountfactor d. Find the required discount factor to sustain the following grim triggerstrategy as a SPNE: Play Q^M /2 if this has been played in every previous period, otherwise play q^NE.