Consider three firms that face market demand P = 101 - Q. The cost functions are C1(q1)=6(q1^2) for firm 1, C2(q2)=4(q2^2) for firm 2, and C3(q3)=4q(3^2) for firm 3. Firm 1 is the Stackelberg leader and firms 2 and 3 are the followers. What is firm 1's equilibrium output q1^*?
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