Two small companies sharing building space need to decide whether to purchase wifi internet access. the building provides free 10 mbps to all users. alternatively, each company can access wifi speeds averaging 120 mbps if either company pays $100. assume that there is no way for company a to prevent company b from using company a’s wifi, and vice versa. therefore, when only company a purchases internet access, companies a and b each have 60 mbps available (the 120 mbps is split), and vice versa. if both companies pay for access (each company pays $100), each company gets the full 120 mbps. the utility function for each company is simply: u(b, c) = b − c where b is bandwidth in mbps and c is dollars. each company decides to either pay for wifi access or to not pay for wifi access. the companies must choose their action simultaneously. this results in a 2 by 2 game matrix. a) without filling in the payoffs, write down the 2 by 2 game matrix. b) write down all of the payoffs and fill in the payoff mat