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Geogebra file : https://www.geogebra.org/calculator/qvjg3ntd
Geogebra file : https://www.geogebra.org/calculator/qvjg3ntd
[[File:Linear programming question 1.png|thumb|Geogebra plot]]
The area in which all the colors are overlapping represents the region where all these inequalities are satisfied.
[[File:Linear programming question 1.png|Geogebra plot|center|frameless|777x777px]]
==== Activity ====
Plot the area in which all the four inequalities overlap and plot all the vertices of the resulting polygon.
Geogebra file : https://www.geogebra.org/calculator/qvjg3ntd
[[File:Linear Programming plot 2 .png|center|frameless|700x700px]]
==== Observation ====
Now we have four bounds of this polygon inside of which all the four inequalities are satisfied. All we need to do now is find a point in this set, where <math>x+y</math>is maximised.
Simply looking at the