The maximum value of \(z=4x+2y\) subject to the constraints $2x+3y\leq 18, x+y\geq 10 , x \geq 0,y\geq 0$ is occurs at

None

The correct answer is Option 4: None

There is no area in the 1st quadrant where the two inequalities met. This clearly says that there is no solution for the Linear Programming Problems (LPP) with the given constraints.