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Linear Programming
Oswaal
CBSE
Grade 12
Question:
The corner points of feasible region for an LPP are $(0, 2), (3, 0), (6, 0), (6, 8)$ and $(0, 5)$. If $Z = 4x + 6y$, then minimum value of $Z$ occurs at: (a) $(0, 2)$ only (b) $(3, 0)$ only (c) Every point on line segment joining $(0, 2)$ and $(3, 0)$ (d) $(6, 0)$ only
Step-by-Step Solution
Key Concept: Z(0,2) = 12, Z(3,0) = 12. Same minimum value 12 at two corner points.
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Correct Answer:Every point on line segment joining $(0, 2)$ and $(3, 0)$
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