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Linear Programming
NCERT Class 12
CBSE
Grade 12

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 where $Z_{\max}$ occurs is:
(a) Infinitely many
(b) $2$
(c) $1$
(d) $0$

Step-by-Step Solution

Maximum occurs at all points on the line segment $\Rightarrow$ Infinitely many. [1.0 Mark]

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🎯 Official CBSE Marking Scheme:
Selecting Infinitely many: 1.0 Mark

Correct Answer: Infinitely many
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