The feasible region for an LPP is shown in the given figure. Let $Z=3x+4y$ be the objective function. Then which of the following is/are TRUE?

(A) The minimum value of Z is 156

(B) The minimum value of Z is 152

(C) The maximum value of Z is 196

(D) Neither minimum nor maximum value of Z exists

Choose the correct answer from the options given below:

Consider the objective function $Z = 3x + 4y$ subject to the following constraints: $x-6y \le 6, x+y-1 \ge 0, x-y+1 \ge 0, x+2y \le 6, x \ge 0, y \ge 0$ . Which of the following inequalities does not contribute to the feasible region?

The feasible region of an LPP Max $Z = 3x + 2y$ subject to $x \geq 0, y \geq 0, x - 2y \leq 3$ is:

In an LPP, the feasible region represented by the set off constraints $2x + 3y \leq 18$, $x + y \leq 10$, $x \geq 0$, $y \geq 0$ is

A LPP $max\,Z = 3x + 8y$ subjected to the constraints $2x + y \le 10$, $x + 3y \le 15$, $x,y \ge 0$, then $max\,Z$ is

The corner points of the feasible region determined by inequalities of LPP are $(4, 10)$, $(6, 8)$ and $(6, 5)$. Let $z = 3x + 4y$ be the objective function. Then the sum of maximum value of z and minimum value of z is :

The feasible region represented by the constraints $4 x+y \geq 80, x+5 y \geq 115,3 x+2 y \leq 150, x, y \geq 0$ of an LPP is