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Linear Programming
NCERT Class 12
CBSE
Grade 12

Question:

The corner points of the feasible region determined by the system of linear constraints are $(0, 0), (0, 40), (20, 30), (30, 0)$. If the objective function is $Z = 4x + 3y$, the maximum value of $Z$ is:
(a) $170$
(b) $120$
(c) $140$
(d) $150$

Step-by-Step Solution

Corner points evaluation: $Z(20,30) = 4(20)+3(30) = 170$. [1.0 Mark]

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🎯 Official CBSE Marking Scheme:
Evaluating maximum value $= 170$: 1.0 Mark

Correct Answer: $170$
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