Respuesta :
The roommates would rent 3 movies to maximise total surplus
Each roommate would pay $9
The roommates would watch the films that yields a positive consumer surplus
Consumer surplus is the difference between the willingness to pay of a consumer and the price of the good.
Consumer surplus = willingness to pay – price of the good
Willingness to pay is the highest amount a consumer is willing to pay for a good or service
Consumer surplus is positive if willingness to pay exceeds the price of the movie and it is negative when the price of the good exceeds the willingness to pay of the consumers
Total willingness to pay for the first movie = 10 + 9+ 8+ 3 = 30
Total willingness to pay ($30) exceeds the price of the movie ($12). Consumer surplus is positive. The first movie will be rented
Total willingness to pay for the second movie = 8+ 7+ 6+ 2 = 23
Total willingness to pay ($23) exceeds the price of the movie ($12). Consumer surplus is positive. The second movie will be rented.
Total willingness to pay for the third movie = 6+ 5+ 4+ 1 = 16
Total willingness to pay ($16) exceeds the price of the movie ($12). Consumer surplus is positive. The third movie will be rented.
Total willingness to pay for the fourth movie = 4+ 3+ 2+ 0 = 9
Total willingness to pay ($9) is less than the price of the movie ($12). Consumer surplus is negative. The fourth movie will be rented.
Only three movies would be rented.
Total cost of the 3 three movies = $12 x 3 = $36
Cost to each roommate if the bill is split equally = $36 / 4 = $9
For more information on willingness to pay, please check : https://brainly.com/question/13623559?referrer=searchResults
