4. (9) Suppose you manage a large company's marketing department and are responsible for deciding whether or not to advertise in the Super Bowl. Your team of analysts estimates that for each advertisement, your firm would generate $5 million in additional revenue for the company. It costs $6.5 million to run a 30-second advertisement. Therefore, your company would expect to lose $1.5 million in profit for each advertisement.

a) (3) Explain why it could still be worthwhile to purchase an advertisement, even though you know in advance that your company would lose $1.5 million in profit?

b) (6) Depict this situation with a game theory payoff matrix. Your company (A) and a major competitor (B) have two potential strategies: to advertise or to not advertise during the Super Bowl. The payoffs in each cell represent the change in firm profits from advertising. Create payoffs in each cell such that the Nash equilibrium is that both firms advertise despite having a higher profit if neither firm advertises.