Tough algebra problem?
I'm having a hard time getting this algebra problem:
Graph the feasible region and find the maximum and minimum values of C under the given constraints.
C= 2x + 6y
Constraints:
x+y≥ 2
3x-2y≤6
4y≤x+8
The problem itself isn't too bad, the thing that's getting me are the constraints. I don't really understand how to do those. Anybody willing to explain?
Comments
The constraints help you graph the feasible region. Draw the following lines:
y ≥ 2 - x; y ≥ 1.5x - 3; y ≤ 0.25x + 2
You'll find out the feasible region is a triangle with points (2,0), (0,2), and (4,3).
C,max = C(4,3) = 26
C,min = C(2,0) = 4