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 given the same __________ value.

Open in App

Solution

For z = ax + by
has same maximum value on two corner points then, it has same maximum value on every point on line segment joining two points.

Suggest Corrections

Similar questions

Q. Corner points of the feasible region for an LPP are : (0, 2), (3,0), (6,0), (6, 8) and (0, 5). Let z = 4x + 6y the objective function. The minimum value of z occurs at
(a) (0, 2) only
(b) (3, 0) only
(c) the mid-point of the line segment joining the points (0, 2) and (3, 0) only
(d) any point on the line segment joining the points (0, 2) and (3, 0)

Q. The corner points of the feasible region for an LPP are

(0, 2),

(3, 0),

(6, 0),

(6, 8)

and

(0, 5) .

Let

Z = 4 x + 6 y

be the objective function. Then minimum value of

Z

occurs at

Q. If the feasible region for an LPP is _____________, then the optimal value of the objective function z = ax + by may or may not exist.

Q. The optimal value of the objective function is attained at the points
(a) given by intersection of inequations with the axes only
(b) given by intersection of inequations with x-axis only
(c) given by corner points of the feasible region
(d) none of these

Let Z = ax + by be the objective function at each corner point. Let m and n, respectively denote the largest and smallest values of these points. When the feasible region is ………, m and n are the maximum and minimum values of Z.

Join BYJU'S Learning Program

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 given the same __________ value.

For z = ax + by has same maximum value on two corner points then, it has same maximum value on every point on line segment joining two points.

For z = ax + by
has same maximum value on two corner points then, it has same maximum value on every point on line segment joining two points.