Return to Exercise 5 in Chapter 4, where Moe, Larry, and Curly are hiring the services of an acting coach. Suppose the coach’s fee is $15 per hour.
a. If the trio share the hourly cost equally, and they use majority voting to determine the number of hours of coaching to hire, how many hours will they choose? Is this close to the efficient quantity?
b. Suppose that the cost of hiring the coach is divided in the following way: Moe and Curly each pay $1 per hour, and Larry pays $13 per hour. Show that in this case majority voting leads to excessive spending on the acting coach.

Data From Exercise 5 Chapter 4

Moe, Larry, and Curly are struggling in their drama class and plan to hire an acting coach  to help them prepare a stage show. The tutor’s wages are $20 per hour. The marginal benefit  of each hour of coaching is given in the following table.

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Number of Hours 1st hour 2nd hour 3rd hour 4th hour 5th hour 6th hour 7th hour Moe's Marginal Benefit 12 10 06628 ON 4 Larry's Marginal Benefit 17 15 === 236975 13 11 Curly's Marginal Benefit 6543210