matt and joe are in the video game industry. matt has developed a new joystick controller and is trying to decide whether to sell it at a high price or a low price. selling the good at a higher price will provide higher profits but might entice joe to develop and sell a competing joystick controller. a lower price could deter entry from joe. after matt sets his price, joe must decide to enter the market for the new joystick controller or not. assume that both matt and joe must make at least $5,000 to make the investment worthwhile. a decision tree in which matt first decides whether to charge a high price of a low price. then joe decides to enter the market or not. the strategies and payoffs are as follows: if matt charges a high price and joe enters the market, then they both earn $9000 in profit. if matt charges a high price and joe does not enter the market, then matt earns $18000 in profit and joe earns $0. if matt charges a low price and joe enters the market, then they both earn $7000 in profit. if matt charges a low price and joe does not enter the market, then matt earns $14000 in profit and joe earns $0. which price will matt charge? high price low price what will joe do as a result of matt's choice? joe will enter the market. joe will not enter the market. indicate each person's final profit. matt's profit: $ joe's profit: $