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lines changed Original file line number Diff line number Diff line change @@ -849,7 +849,7 @@ x_1 + x_2 = 3
849849x_2 = 2 → horizontal line
850850```
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852- <br ><br >
852+ <br ><br >< br >
853853
854854## ➢ [ Step 2] ( ) : Identify the Feasible Region
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@@ -862,10 +862,45 @@ x_2 = 2 → horizontal line
862862x_1 \geq 0$ and $x_2 \geq 0
863863```
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865+ <br ><br ><br >
866+
867+ ## ➢ [ Step 3] ( ) : Find Intersection Points (Vertices)
868+
869+ <br >
870+
871+ 1 . Intersection of $x_1 + 3x_2 = 7$ and $2x_1 + 2x_2 = 8$:
872+ - Multiply first by 2: $2x_1 + 6x_2 = 14$
873+ - Subtract: $4x_2 = 6 \Rightarrow x_2 = 1.5$, $x_1 = 2.5$
874+ - Point: ** (2.5, 1.5)**
875+
876+ <br >
877+
878+ ``` latex
879+ Intersection of x_1 + 3x_2 = 7 and 2x_1 + 2x_2 = 8:
880+ - Multiply first by 2: 2x_1 + 6x_2 = 14
881+ - Subtract: 4x_2 = 6 \Rightarrow x_2 = 1.5$, $x_1 = 2.5
882+ - Point: **(2.5, 1.5)**
883+ ```
884+
865885<br ><br >
866886
867887
868- ## ➢ [ Step 3] ( ) : Find Intersection Points (Vertices)
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896+
897+ ---lll--- LATER-----
898+
899+ <br ><br ><br >
900+
901+ ## ➢ [ Step 4] ( ) : Evaluate Objective Function at Each Vertex
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