Question

8.
In an LPP, if the objective function z = ax + by has the same maximum
value on two corner points of the feasible region, then the number of
points at which Zmax occurs is
(a) O
(b) 2
(c) finite
(d) infinite
​

Answer 1

In a LPP, if the objective function Z = ax + by has the same maximum value on two comer points of the feasible region, then the number of points at which Zmax occurs is infinite.

Option (d) is correct.

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

As, every point on the line segment joining these two corner points of the feasible region are infinite, so the number of points at which Zmax occurs is also infinite.

Answer 2

Answer:

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Explanation:

In an LPP, if the objective function Z = ax + by has the same maximum value on two comer points of the feasible region, then the number of points at which Zmax occurs is infinite.

Option (d) is correct.

In an LPP, if the objective function Z = ax + by has the same maximum value on two comer points of the feasible region, every point on the line segment joining these two points gives the same maximum value.

As, every point on the line segment joining these two corner points of the feasible region is infinite, so the number of points at which Zmax occurs is also infinite.