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CBSE 2025 · Region 6 · Set 2 · Q17 · 1 mark

In a Linear Programming Problem (LPP), the objective function $\displaystyle \mathrm{Z}=2 \mathrm{x}+5 \mathrm{y}$ is to be maximised under the following constraints : \[\mathrm{x}+\mathrm{y} \leq 4,3 \mathrm{x}+3 \mathrm{y} \geq 18, \mathrm{x}, \mathrm{y} \geq 0 \] Study the graph and select the correct option. Figure: CBSE Class 12 Mathematics 2025, Linear Programming (Note : The figure is not to scale) The solution of the given LPP :

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CBSE Class 12 Mathematics past-paper question from the 2025board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.