Please solve the following Game Theory question:

(The question is full no missing parts)

3. (20%) Two firms, 1 and 2, are engaged in Bertrand price competition. There are 10 possible buyers, each of whom is willing to pay up to $4, and no more, for an item the firms sell . Firms 1 and 2 have identical unit costs of $2. However, each firm has a capacity of 8 units, so that it cannot satisfy the whole market by itself (it can only satisfy 8 possible buyers, at most). The firms simultaneously announce prices, p1 and p2 respectively and the prices are publicly known. If p1 = p2