Quantity Competition; An Example Then, for given y2, firm 1's profit function is I(y1;y2)=(60-y1-y2y1-y1 So, given y2, firm 1s profit-maximizing output level solves 8=60-2y1-y2-y1=0 dy1Quantity Competition; An Example (y ;y ) ( y y )y y . 1 2 1 2 1 1 2 = 60 − − − Then, for given y2 , firm 1’s profit function is So, given y2 , firm 1’s profit-maximizing output level solves y y y y 1 = 60 − 2 1 − 2 − 2 1 = 0