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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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