Feasible Region and Infeasible Region

For the following feasible region, the linear constraints are

For the following linear programming problem: minimize $z=4x+6y$ subject to the constraints $2x+3y\ge 6, x+y\le 8, y\ge 1, x\ge 0$ the solution is

The point which provides the solution to the linear programming problem:

Maximize $P=2x+3y$ subject to the constraints: $x\ge 0, y\ge 0, 2x+2y\le 9, 2x+y\le 7, x+2y\le 8$ is

The point at which the maximum value of $\left(3x+2y\right)$ subject to the constraints $x+y\le 2, x\ge 0, y\ge 0$ obtained is

Maximum value of $z$ equals $3x+2y$ subject to $x+y\le 3, x\le 2, -2x+y\le 1, x\ge 0, y\ge 0$ is

By the graphical method, the solution of linear programming problem: 

Maximize $z=3x_1+5x_2$ subject to $3x_1+2x_2\le 18, x_1\le 4, x_2\le 6, x_1\ge 0, x_2\ge 0$ is

The maximum value of $2x+y$ is subject to $3x+5y\le 26$ and $5x+3y\le 30, x\ge 0, y\ge 0$ is

The shaded region in the figure is the solution set of the inequations

The shaded part of given figure indicates the feasible region, then the constraints are

For the following shaded region, the linear constraints (except $x\ge 0$ and $y\ge 0$ ) are

The solution for minimising the function $z=x+y$ under an LPP with constraints $x+y\ge 1, x+2y\le 10, y\le 4$ and $x, y\ge 0$, is

The minimum value of $z=6x+7y$ subject to $5x+8y\le 40, 3x+y\le 6, x\ge 0, y\ge 2$ is

The minimum value of $z=3x+y$ subject to constraints $2x+3y\le 6, x+y\ge 1,x\ge 0, y\ge 0$ is

The minimum value of $z=4x+5y$ subject to the constraints $x\le 30, y\le 40$ and $x\ge 0, y\ge 0$ is

For the function $z=4x+9y$ to be maximum under the constraints $x+5y\le 200, 2x+3y\le 134, x\ge 0, y\ge 0$ the values of $x$ and $y$ are

The maximum value of $P=6x+8y$ subject to constraints $2x+y\le 30, x+2y\le 24$ and $x\ge 0, y\ge 0$ is

Determine the system of linear inequations for which the solution set is the shaded region in the following figure:

Find the linear inequations for which the shaded area in the following figure is the solution set:

The constraints $-x+y\le 1, -x+3y\le 9, x\ge 0, y\ge 0$ of LPP corresponds to

Determine the maximum value of $z=3x+4y$, if the feasible region is shown shaded in the figure.