$2.$ The daily inverse demand curve for taxi journeys from Maynooth to Liffey Valley shopping centre is

P$($Q$)=403$Q$,$ where P is the price per journey, in $,$ and Q is the number of daily journeys. Assume that

only two taxi companies currently operate in this taxi market. Each taxi journey costs $4$ to provide.

Suppose that the two taxi companies collude and agree to each provide half of the daily journeys that a

monopoly taxi company would. Is this a Nash equilibrium outcome, i$.$e$.$ is such a collusive$/$cartel agreement

stable, and, if not, what is the Nash equilibrium outcome in terms of daily journeys?