$3.(20$ points$)$ Consider the discrete version of a Cournot competition game. Two firms can each choose from four different quantity levels: $0,5,10,$ and $15.$ Each firm has constant marginal cost c $=5.$ The inverse demand function is P $($q$)=25$q when q $[0,25]$ and P $($q$)=0$ if q $>25.($a$)$ Represent the game in strategic form, that is$,$ draw a game matrix with strategies and payoffs.$($b$)$ Solve for the Nash equilibria of the game. Is the game domi$-$ nance solvable? That is$,$ is there a unique Nash equilibrium to the game that is obtainable through iterated elimination of dom$-$ inated strategies