CBSE 2023 · Region 1 · Set 1 · Q29 · 3 marks
Solve graphically the following linear programming problem : Maximise $\displaystyle \mathrm{z}=6 \mathrm{x}+3 \mathrm{y}$, subject to the constraints \[\begin{array}{r} 4 \mathrm{x}+\mathrm{y} \geq 80 \\ 3 \mathrm{x}+2 \mathrm{y} \leq 150 \\ \mathrm{x}+5 \mathrm{y} \geq 115 \\ \mathrm{x} \geq 0, \mathrm{y} \geq 0 \end{array} \]
Marking-scheme solution
Correct Graph
Corner points
$\displaystyle (2,72)$
$\displaystyle (15,20)$
$\displaystyle (40,15)$
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CBSE Class 12 Mathematics past-paper question from the 2023board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.