Question

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

Answer 1

Every point on the line segment joining two corner points also will give same maximum value

Step-by-step explanation:

Given : Let A be the feasible region of an Lpp then the objective function Z= ax + by has the same maximum value on the corner points of A.

To Find : Number of zmax points.

• If A is the feasible region then Z can have maximum or minimum value based on the constraints of the equation.
• But as its given as that the objective function has the same maximum value , which means that every point on the line segment joining two corner points also will give same maximum value.
• Hence at all the points zmax will occur in the line segment.

The correct question with answer is

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 maximum value.

To Learn More....

1. 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

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