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blem (d) Calculate the carter amount of output for the industry. ? Solution: As we can write down the industry profit function ? ? 100P Y Y??? ? ? ?12 0C y C y??1 2 1 2 1 2( , ) ( ) [ ]y y p y y y y? ? ? ?1 2 1 2( 10 0 ) ( )y y y y? ? ? ?? In order to get the maximize industry profits,.,the ? just differentiating it with respect to ,which gives us the equation: 1 , 212m a x ( , )yy yy?1y121 2 1 21( , ) ( ) ( 1 0 0 )yy y y y yy?? ? ? ? ? ? ??12100 2 2yy? ? ?? Because the firstorder condition equals zero ? It meas that the output for the industry is 50 ? That’s all 3023004030 包佳杰 12121 0 0 2 2 050yyyy? ? ???Problem (e): If firm 1 behaves as a follower and firm 2 behaves as a leader, Calculate the Stackelberg equilibrium output of each firm. ? The timing of the game is as follows:(1)firm 2 chooses a