KCET · Maths · Linear Programming
In Linear Programming Problem (LPP), the objective function \(Z = ax + by\) has the same maximum value at two corner points. The number of points at which \(Z_{max}\) occurs is
- A \(1\)
- B \(2\)
- C \(0\)
- D Infinity
Answer & Solution
Correct Answer
(D) Infinity
Step-by-step Solution
Detailed explanation
According to the Fundamental Theorem of Linear Programming, if the optimal value of the objective function occurs at two distinct corner points of the feasible region, it also occurs at all points on the line segment joining these two points.
Since a line segment contains an infinite number of points, the maximum value \(Z_{max}\) occurs at infinitely many points.
Answer: Infinity
Since a line segment contains an infinite number of points, the maximum value \(Z_{max}\) occurs at infinitely many points.
Answer: Infinity
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