Consider a LPP given by:

Maximize $z = 3x+4y$,

Subject to: $x+y \le 40$, $x+2y \le 60$, $x,y \ge 0$.

Then which of the following statements are correct ?

A. The corner points of the feasible region are $(0,0), (0,30), (40,0), (20,20)$.

B. The feasible region is unbounded.

C. The feasible region is bounded.

D. The maximum value of $z=3x+4y$ is obtained at $(60,40)$.

Choose the correct answer from the options given below:

The corner points of the bounded feasible region determined by $2x+y \leq 10$, $x+3y \leq 15$, $x,y \geq 0$ are (0, 0), (5, 0), (3, 4) and (0, 5). Let $z = px+qy$, $p,q > 0$, then the relation between $p$ and $q$ so that the maximum of $z$ occurs at both (3, 4) and (0, 5), is

The linear constraints, for which the shaded area in the figure is the feasible region of an LPP, are :

A Linear Programming Problem (LPP) consists of which of the following components?

(A) Decision variables

(B) The graphical compliment

(C) The objective function

(D) The linear constraints

Choose the correct answer from the options given below:

The feasible region corresponding to the linear constraints of a Linear Programming Problem (LPP) is represented by the shaded region in the given figure. Which of the following is not a constraint to the given LPP?

If the objective function for a linear programming problem (LPP) is $Z = 4x + 5y$ and the corner points of the bounded feasible region are (9, 0), (4, 3), (2, 5), and (0,8), then the minimum value of Z is:

Consider the linear programming problem :

Minimize $z = 50x + 70y$

Subject to $2x+y \geq 8$, $x+2y \geq 10$, $x \geq 0$, $y \geq 0$

The minimum value of objective function is :