Commerce (English Medium) कक्षा १२ - CBSE Question Bank Solutions

The feasible solution for a LPP is shown in Figure. Let Z = 3x – 4y be the objective function. Minimum of Z occurs at ______.

Refer to Question 27. Maximum of Z occurs at ______.

Refer to Question 27. (Maximum value of Z + Minimum value of Z) is equal to ______.

The feasible region for an LPP is shown in the figure. Let F = 3x – 4y be the objective function. Maximum value of F is ______.

Refer to Question 30. Minimum value of F is ______.

Corner points of the feasible region for an LPP are (0, 2), (3, 0), (6, 0), (6, 8) and (0, 5). Let F = 4x + 6y be the objective function. The Minimum value of F occurs at  ______.

Refer to Question 32, Maximum of F – Minimum of F = ______.

In a LPP, the linear inequalities or restrictions on the variables are called ____________.

In a LPP, the objective function is always ______.

If the feasible region for a LPP is ______ then the optimal value of the objective function Z = ax + by may or may not exist.

In a LPP if the objective function Z = ax + by has the same maximum value on two corner points of the feasible region, then every point on the line segment joining these two points give the same ______ value.

A feasible region of a system of linear inequalities is said to be ______ if it can be enclosed within a circle.

A corner point of a feasible region is a point in the region which is the ______ of two boundary lines.

The feasible region for an LPP is always a ______ polygon.

If the feasible region for a LPP is unbounded, maximum or minimum of the objective function Z = ax + by may or may not exist.

Maximum value of the objective function Z = ax + by in a LPP always occurs at only one corner point of the feasible region.

In a LPP, the minimum value of the objective function Z = ax + by is always 0 if the origin is one of the corner point of the feasible region.

In a LPP, the maximum value of the objective function Z = ax + by is always finite.

Let A and B be two events such that P(A) = 0.6, P(B) = 0.2, and P(A|B) = 0.5. Then P(A′|B′) equals ______.

Two cards are drawn from a well-shuffled deck of 52 playing cards with replacement. The probability, that both cards are queens, is ______.