Answer:
1. work hard
.
2. are
3. $15.
Explanation:
1. In terms of Larry's total utility, it is worse for him to work hard
.
Larry will prefer to shirk as this is easier for him to do than actually work hard, since he stands to generate $50. So it's worse for him to work hard.
2. Sondra and Larry together are better off if Larry works hard instead of shirking.
Sondra and Larry stand to generate more money if Larry works hard because they will lose if Larry decides to shirk instead.
3. The most Sondra should be willing to pay Carrie to supervise Larry, assuming supervision is sufficient to encourage Larry to work hard, is $15.
She should pay Carry an amount half the amount they stand to lose if Larry shirks. Since they stand to lose $30 if Larry shirks, she can pay Carrie $15 to supervise Larry.
