The State wants to build a power station along an East-West highway to supply power

to four small towns, A, B, C, & D located along the highway. Town C is 100 miles West

of D and 85 miles East of B. Town A is 30 miles West of B. The cost of connecting the

power station to any town in $1000 per mile of cable. The total budget cannot exceed

$230,000. **Where can the power station be located? **You must provide a separate cable

connection from the power station to each town.

boigotskills May 9, 2020

#1**+2 **

If these towns are in a straight East-West line, then, from West to East are:

A -- 30 miles -- B -- 85 miles -- C -- 100 miles -- D

If you must connect each of these by a separate calbe to a power station (at $1000 per mile),

-- if you place the power station at B or C or anywhere between B and C, the total cost will be $300,000.

-- if you place the power station either west of B or east of C, the total cost will be higher.

So, if I am reading the question correctly, I can't solve the problem.

I am interested to see anyone else's solution.

geno3141 May 9, 2020

#2**+4 **

Here's a more detailed solution that agrees with Geno, that it isn't possible to do it within the specified cost:

Alan May 9, 2020

#3**0 **

I think I get your solution, but is it possible to get the possible placement. I just need help with the placement.

boigotskills
May 9, 2020