As more people begin moving out into the mountain areas of California (east and
ID: 343344 • Letter: A
Question
As more people begin moving out into the mountain areas of California (east and central area). There is a need to build new hospitals. Consider the following five cities: Bakersfield, Lancaster, Banning, Palmdale, and Victorville. You must determine where the hospital should be built. The following table provides you with the time it takes for residents to drive to the hospital if there were a hospital built in that city.
The cost (in millions) to build a hospital in each city is as follows: Bakersfield, Lancaster, Banning, Palmdale, and Victorville is 120, 80, 70, 75, and 100, respectively.
Each city must be able to get to a hospital within 20 minutes or less.
What is the minimum cost that could achieve this goal? Express the value in millions, for example if your solution is 980,000,000 then record 980 as your answer.
Bakersfield Lancaster Banning Palmdale Victorvilee Bakersfield 10 20 30 40 50 Lancaster 25 15 25 14 45 Banning 18 30 13 18 60 Palmdale 35 20 15 10 20 Victorville 45 40 10 25 18Explanation / Answer
Considering the given table i.e. time taken to travel to hospital from and to cities. There will be atleast two hospitals required to meet the condition of reaching to the hospital in 20 minutes or less for each city.
The two cities where the hospitals should be build are:
Banning : This is because out of all the five cities this city can be reached in max 15 minute from majorly 3 cities and for the remaining two cities we have to built one hospital in Lancaster solving the problem for Lancaster and Bakersfield.
By building the above two hospitals, all the residents of the five citites can reach to a hospital within 20 minutes or less.
The minimum cost that could achieve this goal would be: 80 (for Lancaster) + 70 (for Banning) i.e. 150.
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