Two firms, A and B, face an inverse market demand function of P = 1200 - 4Q.  Each firm has the same cost function Ci = 20qi.  Assume the A and B are Stackelberg competitors, and that A is the leader. Derive from profit functions the equilibrium prices, quantities, and profits for A and B.

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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Two firms, A and B, face an inverse market demand function of P = 1200 - 4Q.  Each firm has the same cost function Ci = 20qi.  Assume the A and B are Stackelberg competitors, and that A is the leader.

  1. Derive from profit functions the equilibrium prices, quantities, and profits for A and B.
  2. How does the methodology for solving the Stackelberg problem differ from the method for solving the Cournot problem?  Why? 
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