Can I get some help on this question with answer and detailed explanation?

Stackelberg Model with 3 rms Consider the following variation of the Stackelberg model that we saw in class. There are 3 rms in this market: rm 1 sets its production (11 rst; rm 2 observe the production set by rm 1, then sets its own production, ()2; nally, rm 3 observes the production set by both rms 1 and 2, and sets its production (13. The total quantity produced in the market is Q = (11 + (12 + 43- The (inverse) demand function is P(Q) = 18 2Q = 18 2q1 242 2113. The cost function of each rm is, for i = 1, 2, 3, 0411i) = 211.. (a) (11!!) What is the best-reply of rm 3 if the other two rms produce q, and 42, respectively? (b) (2 PtS) Find the quantity produced by each rm in the unique Subgame Perfect Equilibrium of the game. (HINT: This is a game with perfect Information, which you can solve by Backward Induction.)