Five major buildings on a campus have coordinates A(0,0), B(0,800), C(200,1000), D(400,800), and E(400,0) (where the x and y axes are scaled in units of meters). Roads must be constructed to connect all of these buildings at a cost of $32 per linear meter (using a standard road width).
So, for example, if the point F has coordinates (200,400) and straight roads are built between A & F, B & F, D & F, E & F, and C & D, almost 2072 meters of road would be needed to connect the buildings at a cost of $66,294. to the nearest dollar.
Given a road construction budget of $55,900. for this project, show how you might connect the buildings within the budget constraints.
(In reply to Picture of Optimized solution
1) The link seems to be broken.
2) F is where the ray from G passes through arc AF. I don't see mention of a ray going down and to the left from F before the "until...". F and A are merely connected by a line segment. When reconstructing what you say in the earlier part of the construction, I see the need for two adjustments: one for H and one for G, not just for H. I do get about the same answer as yours, but I did leave the default precision to two decimal places.
Edited on February 5, 2007, 5:25 pm
Posted by Charlie
on 2007-02-05 17:24:20