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4. In a museum S and T denote the entrance and exits of a hall. There are exhibits placed at the
positions A,B,C,D. The hall has three gardens as shown in gray in the figure. There are hallways
around the gardens that can support the movement of a specified number of people per hour
which are marked in the figure. For example, people wanting to visit exhibit D can enter at S and
go to D via the hallway which supports 400 visitors to pass through every hour. Similarly the
hallway from exhibit B to C support 150 visitors per hour. The museum wants to attract 6000
visitors every day and closes when the target is reached for that day. If the museum opens at 8am
on a specific day, when is the earliest it can close on that day to support 6000 visitors?

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  • 1. 4. In a museum S and T denote the entrance and exits of a hall. There are exhibits placed at the positions A,B,C,D. The hall has three gardens as shown in gray in the figure. There are hallways around the gardens that can support the movement of a specified number of people per hour which are marked in the figure. For example, people wanting to visit exhibit D can enter at S and go to D via the hallway which supports 400 visitors to pass through every hour. Similarly the hallway from exhibit B to C support 150 visitors per hour. The museum wants to attract 6000 visitors every day and closes when the target is reached for that day. If the museum opens at 8am on a specific day, when is the earliest it can close on that day to support 6000 visitors?