Please solve the following Game Theory question:

(The question is full not messing parts)

1. (30%) Suppose there is a joint project that generates an amount 10 for each of the individuals A and B, provided the sum total of A's and B's investments in the project is at least 7. Suppose A's investment is denoted by ac and B's by y, where as and y can take any values in {0,1,2,3,4,...,8,9,10}. A player always has to incur the cost of the investment (equal to a: or g respectively) and gets the benet if and only if the project goes ahead. Suppose each player is interested in his own net benet (benet-cost) and players choose their investment levels simultaneously. The following relate to pure strategies. (a) Is there a Nash equilibrium in which both players invest 0? (b) Is there a Nash equilibrium in which one player invests 0 and the other does not? (c) What is the lowest payoff a player can get in any Nash equilibrium