Linear Programming Graphical
- Author:
- Justine Leon Uro
To solve the LP Problem using the graphical method in GeoGebra:
Maximize: f = 2x + y
Subject to:
c1: x + y <= 2
c2: 2x - 3y <= 2
x, y >= 0
GeoGebra commands for the Task section:
c1: x + y <= 2
c2: 2x - 3y <= 2
cx: x >= 0
cy: y >= 0
lc1: x + y = 2
lc2: 2x - 3y = 2
lcx: x = 0
lcy: y = 0
O: Intersect[lcx,lcy]
P1: Intersect[lc2,lcy]
P2: Intersect[lc2,lc1]
P3: Intersect[lc1,lcx]
Polygon[O,P1,P2,P3]
f: 2x+y
f(O)
f(P1)
f(P2)
f(P3)
fMax: 2x + y = 3.6