Question: we have to solve it mathematically if you know anything about it please answer ARCHY I ed in particularly warm and arid part of the
we have to solve it mathematically
ARCHY I ed in particularly warm and arid part of the hot so is especially prone to the currence of files. The city has become popular place for senior cities to se irement it has been going pidly and speading will heyed its original borders. However, the city still has only the fire Motion, located in the convenie of the town The Pilhas been some long delays in fire tricks reaching fires in the outer parts of the city, casing much more damage then would have occurred with a prompt response. The city's residente y unhappy about this, the city council has directed the city manager to develop a plan for localliple fire stations throughout the city (including perhaps moring the current fire on that would creatly reduce the response to any fire. In particul, the city council has adopted the policy of keeping the minimum acceptable response time 10 min for fire trucks to reach anywhere in the city after being notified. The city manager has collected the following data for the eighttracts in ABC Response 2 Time 3 (Minutes 4 foraires in Tract 6 7 8 Fire Station in Tract 1 2 3 4 5 6 7 28 189 23 22 16 28 93 10 12 16 14 2 25 17 8 4 20 21 8 2217 10 13 19 2 18 21 6 12 21 12 16 13 5 119 12 25 15 7 21 553148 14 22 18 71 15 29 30 24 15 14 17.9 % 3 350 250 450 300 50 400 300 200 Station (sthousands) The objective now is to determine which tracts should receive a fire station to minimize the total cost of the stations while ensuring that each tract hus at least one station close enough to respond to fire in no more than 10 minutes. Formulate this problem mathematically, ARCHY I ed in particularly warm and arid part of the hot so is especially prone to the currence of files. The city has become popular place for senior cities to se irement it has been going pidly and speading will heyed its original borders. However, the city still has only the fire Motion, located in the convenie of the town The Pilhas been some long delays in fire tricks reaching fires in the outer parts of the city, casing much more damage then would have occurred with a prompt response. The city's residente y unhappy about this, the city council has directed the city manager to develop a plan for localliple fire stations throughout the city (including perhaps moring the current fire on that would creatly reduce the response to any fire. In particul, the city council has adopted the policy of keeping the minimum acceptable response time 10 min for fire trucks to reach anywhere in the city after being notified. The city manager has collected the following data for the eighttracts in ABC Response 2 Time 3 (Minutes 4 foraires in Tract 6 7 8 Fire Station in Tract 1 2 3 4 5 6 7 28 189 23 22 16 28 93 10 12 16 14 2 25 17 8 4 20 21 8 2217 10 13 19 2 18 21 6 12 21 12 16 13 5 119 12 25 15 7 21 553148 14 22 18 71 15 29 30 24 15 14 17.9 % 3 350 250 450 300 50 400 300 200 Station (sthousands) The objective now is to determine which tracts should receive a fire station to minimize the total cost of the stations while ensuring that each tract hus at least one station close enough to respond to fire in no more than 10 minutes. Formulate this problem mathematically if you know anything about it please answer
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