Discover the Nash equilibrium of the 2 player game.

Find the Nash Equilibrium of the following two-player game. Let v; =600-4(q1+q2) be the profit to firm i of each unit of output that i produces. The profit to firm 1 is given by , =q, [600-4 q,+9, ] and the profit to firm 2 is given by 72=92 [600-4 q1+q2)]. Consider the following game, a variation of an ultimatum game. You and I are playing to potentially divide $100 between us. First, I will make an offer to you. (An offer will take the form of "I keep SX, you keep SY." where X+Y=$100.) If you accept my offer, then we divide the money as proposed. If you reject the offer, then you make a counteroffer. If I accept your counteroffer, we divide the money as you propose. If I reject the counteroffer, we both receive $20. Would you rather make the first offer or the second offer in this game? Why