Apps. and Interpretation for IBDP Maths Ebook 1 | Page 134

Your Practice Set – Applications and Interpretation for IBDP Mathematics
36
Paper 1 – Toxic Waste Dump Problems
Example
The diagram below shows the Voronoi diagram of four incinerators, A , B , C and D , in
a city, where 1 unit represents 1 km. The points E(5, 7) and
intersections of the boundaries of Voronoi cells.
F �
5, 11�
� � are the
� 3 �
Hannah is planning to buy a new house in the town. She hopes that the location of the
new house to be as far as possible from all other incinerators. There are two new houses,
one is located at E and the another one is located at F .
(a) State the significance of the Voronoi cell of the incinerator C .
Two circles are constructed such that the centres are E and F respectively, and passes
through the incinerators in adjacent Voronoi cells.
[1]
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