Monroe County is trying to determine where to place the county fire station. The locations of the county's four major towns are as follows: (10, 20), (60, 20), (40, 30), and (80, 60) (see Figure 7.50). Town 1 averages 40 fires per year; town 2, 25 fires; town 3, 20 fires; and town 4, 30 fires. The county wants to build the fire station in a location that minimizes the average distance that a fire engine must travel to respond to a fire. Because most roads run in either an east-west or a north-south direction, the fire engine must do the same. For example, if the fire station is located at (30, 40) and a fire occurs at town 4, the fire engine has to travel 180 30 160 - 401-70 miles to the fire a. Determine where the fire station should be located. Round your answers to three decimal places Location of fire station b. Use SolverTable to see how the optimal location of the fire station changes as the number of fires at town 3 changes from 5 to 40, with increments of 5. Select the correct graph Sensitivity of Location of Fire Station to Fires at Town 3 X Location of frestation 60 Y Location of fire station c 30 20 10 10 25 40 Fires at town3 Sensitivity of Location of Fire Station to Fires at Town 3 70 60 50 40 c 30 20 -10 XLocation offrestation -Y Location of fire station 5 10 35 Sensitivity of Location of Fire Station to Fires at Town 3 70 60 50 40 0 30 20 -10 XLocation offrestation -Y Location of fire station 5 10 20 25 30 35 Fires at town 3 (iv) Sensitivity of Location of Fire Station to Fires at Town 3 70 XLocation of frestation 60 -Y Location of fire station 40 c 30 20 10 5 10 20 25 30 35 Fires at town 3 Select Graph (i) Graph (ii) Graph (ii) Graph(v)07.62 Monroe County is trying to determine where to place the county fire station. The locations of the county's four major towns are as follows: (10, 20), (60, 20), (40, 30), and (80, 60) (see Figure 7.50). Town 1 averages 40 fires per year; town 2, 25 fires; town 3, 20 fires; and town 4, 30 fires. The county wants to build the fire station in a location that minimizes the average distance that a fire engine must travel to respond to a fire. Because most roads run in either an east-west or a north-south direction, the fire engine must do the same. For example, if the fire station is located at (30, 40) and a fire occurs at town 4, the fire engine has to travel 180 30 160 - 401-70 miles to the fire a. Determine where the fire station should be located. Round your answers to three decimal places Location of fire station b. Use SolverTable to see how the optimal location of the fire station changes as the number of fires at town 3 changes from 5 to 40, with increments of 5. Select the correct graph Sensitivity of Location of Fire Station to Fires at Town 3 X Location of frestation 60 Y Location of fire station c 30 20 10 10 25 40 Fires at town3 Sensitivity of Location of Fire Station to Fires at Town 3 70 60 50 40 c 30 20 -10 XLocation offrestation -Y Location of fire station 5 10 35 Sensitivity of Location of Fire Station to Fires at Town 3 70 60 50 40 0 30 20 -10 XLocation offrestation -Y Location of fire station 5 10 20 25 30 35 Fires at town 3 (iv) Sensitivity of Location of Fire Station to Fires at Town 3 70 XLocation of frestation 60 -Y Location of fire station 40 c 30 20 10 5 10 20 25 30 35 Fires at town 3 Select Graph (i) Graph (ii) Graph (ii) Graph(v)07.62
