Changes

== Concept 1 : Mathematical modelling ==

== Concept 1 : Mathematical modelling ==

One of the most important applications of mathematics in life is to find a optimal solution for problems. For example, what goods should a shopkeeper buy to get the most amount of profit or what is the optimal combination of food you should eat to get maximum amount of nutrients?   

One of the most important applications of mathematics in life is to find a optimal solution for problems. For example, what goods should a shopkeeper buy to get the most amount of profit or what is the optimal combination of food you should eat to get maximum amount of nutrients?   

<math>25x + 50y \leq 1000</math>

<math>25x + 50y \leq 1000</math>

Geogebra file : https://www.geogebra.org/calculator/qvjg3ntd

{{Geogebra|shvcc7wh}}

The area in which all the colors are overlapping represents the region where all these inequalities are satisfied.  

The area in which all the colors are overlapping represents the region where all these inequalities are satisfied.  

==== Activity ====

==== Activity ====

Plot the area in which all the four inequalities overlap and plot all the vertices of the resulting polygon.  

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

{{Geogebra|qvjg3ntd}}

 

==== Observation ====

==== Observation ====