4. [20 points] For a two-player game, the payoff function for player 1 is \"(11, n) = x. + 10 x: 12, and for player 2 is Vz(xi, n) = x: + 20 Xi I2. The players' strategies are continuous. Player 1's strategy set (i.e. the values that x; can take) is the interval [0,100], and player 2's strategy set (i.e. the values that x2 can take) is the interval [0,50]. Find all Nash equilibria. Hint: Recall our discussion about the intuition behind using the fust-order-condition to get the max value of a function. What would it mean to have the rst-order-derivative of the utility function to have a nonzero value