Question about linear programming

[homomorphism]

basically, let's say i have three linear equations, y1, y2, and y3.

assume y1 = ax+b where a and b are constants
assume y2 = mx+k where m and k are constants
assume y3 = n where n is a constant

also, now assume that they all intersect at y1=y1=y3=n.

would the area between the curves, y1 and y2, from 0 to the intersection represent anything? I've attached a sample pic for reference.

View attachment linear area.bmp

 

[HallsofIvy]

Wow, I think I repeating what I just said in the previous thread! What anything in mathematics "represents" depends upon the specific application. In economics that area is commonly referred to as the "feasible region" because it is, by the terms of the application that gives you those equations, the area in which a solution must occur.

 

[homomorphism]

well...i know it's the feasible region. But let's stick with the economics example...does computing the actual size of that region give anything useful?