A museum plans a new art exhibition. The exhibition is expected to be quite popular: during the 10 hours per day the exhibition is open, on average 700 visitors are expected per day.

The map above shows the first lay-out made for this exhibition. For each room, an estimate is made of the time (in minutes) visitors will spend watching the artworks. More visitors can watch the works in any room at any given time. For each room, also an estimate is made of the number of visitors which can go through during each hour. Due to differences in the sizes of the rooms, and the character of the displays, the relation between time and number of visitors is not exactly linear.

a) What is the maximum number of visitors which can be admitted during any hour for this art exhibition? Motivate your answer.
b) If management wants to increase capacity, why is it NOT advisable to use relative location

T viewing time minutes Q capacity: visitors/hour Entrance & tickets Shop & EXIT A T4 Q180 H T1 Q 270 B T8 Q 90 G T9 Q 62 C T6 Q 120 F T3 Q 240 D T8 Q 190 E T 14 Q 65