The system of Inequality given here is
1. →x≥0
2.→y≥0
3.→3x+4y≤8
4.→2x+4y≤6
f(x,y)=x+y
Drawing the Inequality on the Coordinate plane and obtaining the feasible points
And Feasible Points are
1.→(0,1.5)
2.→(0,0)
3.→(2.667,0)
4.→(2,0.5)
→f(0,1.5)=0+1.5=1.5
→f(0,0)=0+0=0
→f(2.667,0)=2.667+0=2.667
→f(2,0.5)=2+0.5=2.5
⇒There is one Optimal Solution obtained at Point (2.667,0).
Option B
One optimal solutions
