The point at which the maximum value of the function $Z=x+y$, subject to the constraints $x+2y\leq70$, $2x+y\leq95$, $x,y\geq0$, is obtained, is:

Consider a LPP:

Maximize $Z=22x+18y$

Subject to:

$x+y\le 20$,

$360x+240y\le 5760$,

$x,y\ge 0$.

Which of the following statements are correct ?

A. The maximum value of $Z$ occurs at (0, 20).

B. The maximum value of $Z$ occurs at (8, 12).

C. The maximum value of $Z$ is 352.

D. The maximum value of $Z$ is 392.

Choose the correct answer from the options given below:

The type of feasible region and its corner points are.

A. bounded

B. unbounded

C. (0,5), (2,4), (10,0)

D. (0,8), (2,4), (4,0)

E. (0,8), (2,4), (10,0)

Choose the correct answer from the options given below:

If the corner points of bounded feasible region for an LPP are (0,2) (3,0) (6,0) (6,8) and (0, 5) then the minimum value of the objective function f=4x+6y occur at

Which of the following are correct about the linear programming problem(LPP)?

(A) The objective function is always linear.

(B) A corner point of a feasible region is a point in the region which is the intersection of two boundary lines.

(C) The common region determined by all the linear constraints of a LPP is called the feasible region.

(D) If an LPP admits optimal solution at two points then its optimal values occurs at an infinite number of points.

Choose the correct answer from the options given below:

The corner points of the feasible region of a LPP with the constraints $x + 2y \leq 40$, $3x + y \geq 30$, $4x + 3y \geq 60$, $x, y \geq 0$ are

The objective function for a L.P.P. is $Z = 5x + 7y$ and the corner points of the bounded feasible region are (0, 0), (7, 0), (3, 4) and (0, 2), then the maximum value of Z occurs at