A fire extinguisher can be placed in the locations represented in the graph belo

Question

A fire extinguisher can be placed in the locations represented in the graph below, numbered 1-7. However, location no. 4 and 6 are not suitable for storing an extinguisher. The numbers on the arcs show the distance in feet that employees have to travel to get to an extinguisher. 0 4 70 4 The Occupational Safety and Health Administration requires that employees have access to an extinguisher within 75 feet. List all possible locations in which a fire extinguisher could be located and the sites it would serve. (ii) What is the minimum number of fire extinguishers needed, and (ii) where would their locations be? Give all possible location solutions

Explanation / Answer

i)

ii) Minimum number of fire extinguishers needed = 2

iii) First extinguisher 1 - Either location 1 or 2 or 3

Fire extinguisher 2 - Either location 5 or 7

Extinguisher location Served Locations Location 1 1,2,3,4 Location 2 1,2,3,4 Location 3 1,2,3,4 Location 5 5,6,7 Location 7 5,6,7

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