Science (English Medium) Class 12 - CBSE Question Bank Solutions

The corner points of the feasible region determined by the system of linear constraints are (0, 0), (0, 40), (20, 40), (60, 20), (60, 0). The objective function is Z = 4x + 3y ______.

Compare the quantity in Column A and Column B

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 ______.