4. [20 points] For a two-player game, the payoff function for player 1 is V](X[, 1;) = 11 + 10 x. 1;, and for player 2 is Vzn, xx) = 12 + 20 x: 32. 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 It; can take) is the interval [0,50]. Find all Nash equilibria. Hint: Recall our discussion about the intuition behind using the rst-order-condition to get the max value of a function. What would it mean to have the rst-order-derivative of the utility mction to have a nonzero value