The following is a simplified duopoly model of competition between two firms. Firms simultaneously ...

The following is a simplified duopoly model of competition between two firms. Firms simultaneously choose the quantity of outputs to produce, and then profits are realized. Each firm is restricted to producing 25, 35, 50 or 100 units of output. The details of how the payoffs are derived are unimportant because payoffs are all given in the table below.

   Firm 2
      Q2 = 25   35   50   100
   Q1 = 25    125, 125   100, 140   63, 125   -63, -250
Firm 1   35    140, 100   105, 105   53, 75   -123, -350
   50    125, 63   75, 53   0, 0   -250, -500
   100    -250, -63   -350, -130   -500,-250   -900, -900

Find the Nash equilibrium(s) in the game.