Suppose there are only two firms in an industry. The two firms produce identical product. The demand curve in this industry is given by (1 +2)=1001 2. Firm 1s total cost of producing 1 units of output is 1(1)=101 and firm 2s total cost of producing 2 units of output is 2(2)=102. Each firm can choose to supply either 30 or 45 units of output. Complete the following payoff matrix first, and then use the extensive form to find the equilibrium in the Sequential Game where firm 1 chooses how much output it will supply before firm 2 chooses.

This question was posted several times with a solution to another similar problem. This would usually be fine but it is hard to follow as they changed the variable q to v and it was different numbers. If you solve this please use the problem above.