SOLUTION: two towns a and b are 7 miles apart. they want to build a new school to serve 380 students from a and 2120 students from b. how far from a should the school be built if the total d

Question 757067: two towns a and b are 7 miles apart. they want to build a new school to serve 380 students from a and 2120 students from b. how far from a should the school be built if the total distance traveled by all 2500 students is the smallest possible?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Two towns a and b are 7 miles apart.
They want to build a new school to serve 380 students from a and
2120 students from b.
How far from a should the school be built if the total distance
traveled by all 2500 students is the smallest possible?
:
Build the school in town b
then
380*7 = 2660 total miles traveled (2120 students travel 0 miles)
:
For example, if the school was built 6 mi from a, then:
total miles = 6(380) + 2120(1) = 4460 mi traveled by all 2500
Much larger total
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