If corner points of the bounded feasible region are (0, 0), (3, 0) and (0, 3) and objective function is $z = 4x + 7y$, then the maximum value of $z$ is

Consider the Linear Programming Problem

Maximize $z = x + y$

Subject to the constraints $x - y \leq -1$, $x \geq y$, $x \geq 0, y \geq 0$

Then which one of the following is TRUE?

The linear constraints for which the shaded region in the figure are:

The objective function of an LPP is $z = ax + by$. If the maximum value of the objective function is 180, which occurs at two points (15,15) and (0,20), then which one of the following is true?

Refer to the LPP given by $Z = 2.5x + y$, subject to constraints

$3x + y \le 12; 3y + x \le 12; x, y \ge 0$:

In the given figure, If $Z_A$ = value of Z at A, $Z_C$ = value of Z at C and Max.(Z) = maximum value of Z, then which of the following relations between $Z_A$, $Z_C$ and Max.(Z) are correct?

A. $2Z_A = 5$ Max.(Z)

B. $5Z_A = 2Z_C$

C. $Z_A = 6 + Z_C$

D. $6+Z_A = Z_C$

Choose the correct answer from the options given below:

The minimum value of $z = 3x + 2y$ subjected to the constraints $2x + y \geq 7, x + 2y \geq 8, x, y \geq 0$ is

A linear programming problem is as follows:

Minimize $z = 2x + 3y$

Subject to the constraints $x \ge 3, x \le 9, y \ge 0, x - y \ge 0, x + y \le 14$. The feasible region has 5 corner points including