Grave City is considering the relocation of several police substations to obtain better enforcement in high-crime areas. The locations under consideration together with the areas that can be covered from these locations are given in the following table: Locations Areas A 1,4,7 B 1,3,5,7 C 1,2,5 D 2,5,6 E 3,4,7 F 4,6 Areas 2 and 6 must be covered by at least 2 locations. The rest of the areas must be covered by at least 1 location. What is the minimum number of locations?
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A: Problem 1 Problem 2
Grave City is considering the relocation of several police substations to obtain better enforcement in high-crime areas. The locations under consideration together with the areas that can be covered from these locations are given in the following table:
Locations | Areas |
A | 1,4,7 |
B | 1,3,5,7 |
C | 1,2,5 |
D | 2,5,6 |
E | 3,4,7 |
F | 4,6 |
Areas 2 and 6 must be covered by at least 2 locations. The rest of the areas must be covered by at least 1 location.
What is the minimum number of locations?
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