Question
A Movie Theater has 4 theaters to show 3 movies with runtimes as follows: Movie A is 120 minutes, Movie B is 90 minutes, Movie
A Movie Theater has 4 theaters to show 3 movies with runtimes as follows: Movie A is 120 minutes, Movie B is 90 minutes, Movie C is 150 minutes. The runtime includes the break between any two movies. The capacity of the four theaters, in number of seats, are: 500, 300, 200 and 150. The popularity of each movie is such that any theater will be at 70% of capacity for Movie A, 60% of capacity for Movie B, and 80% of capacity for Movie C. Each theater can operate for a maximum of 900 minutes every day. Each theater should show each movie at least once. Each movie should have a minimum number of screenings each day: 5 for Movie A; 4 for Movie B; 6 for Movie C. Create a model to maximize the number of spectators.
At the optimum solution, the number of screenings for different movies is:
A. | 4 for movie A and 6 for movie C | |
B. | 5 for movie B and 9 for movie C | |
C. | 5 for movie A and 5 for movie B | |
D. | 5 for movie A and 6 for movie C |
At the optimum solution, which movie in Theater 1 had the highest number of spectators?
A. | Movie A | |
B. | Movie B | |
C. | Movie C | |
D. | Both Movie A and Movie C |
At the optimum solution, which of the following statements are true:
A. | Theater 1 and Theater 4 have the same number of screenings | |
B. | Number of screenings in Theater 2 is same as the number of screenings in Theater 4 | |
C. | The number of screenings in Theater 2 is the same as in Theater 3 | |
D. | Number of screenings in Theater 1 is more than the number of screenings in Theater 3 |
If the minimum number of screenings were changed, which of the following statements holds true?
A. | If the minimum number of screenings for each movie was changed to 4, the number of spectators (at the new optimal solution) would be 6480 | |
B. | If the minimum number of screenings for each movie was changed to 3, the number of spectators (at the new optimal solution) would be 5890 | |
C. | If the minimum number of screenings for each movie was changed to 6, a feasible solution cannot be found | |
D. | A and B are both TRUE | |
E. | A and B and C are all FALSE |
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