<PRE><B>Question 757067</B>
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</PRE>