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, 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 $3$