`2x + y ge 6`

The graph of the ineequation 2x + 3y ge 6 does not lie in the first quadrant.(True/False)

Draw the graph and find the common solution region of the . following system of inequations : 2x + y ge6 , 3x + 4y ge2 .

-3x + 2y ge - 6

-3x + 2y ge - 6

-3x + 2y ge -6

-3x + 2y ge -6

Represent graphically: -3x + 2y ge -6

Solve graphically -3x + 2y ge -6

Maximize Z = x + 2y subject to: 2x + y ge 3, x + 2y ge 6, x, y ge 0 .