CBSE 2025 · Region 6 · Set 1 · Q14 · 1 mark
For a Linear Programming Problem (LPP), the given objective function is $\displaystyle \mathrm{Z}=\mathrm{x}+2 \mathrm{y}$. The feasible region PQRS determined by the set of constraints is shown as a shaded region in the graph.
(Note : The figure is not to scale) \[\mathrm{P} \equiv\left(\frac{3}{13}, \frac{24}{13}\right), \mathrm{Q} \equiv\left(\frac{3}{2}, \frac{15}{4}\right), \mathrm{R} \equiv\left(\frac{7}{2}, \frac{3}{4}\right), \mathrm{S} \equiv\left(\frac{18}{7}, \frac{2}{7}\right) \] Which of the following statements is correct?
(Note : The figure is not to scale) \[\mathrm{P} \equiv\left(\frac{3}{13}, \frac{24}{13}\right), \mathrm{Q} \equiv\left(\frac{3}{2}, \frac{15}{4}\right), \mathrm{R} \equiv\left(\frac{7}{2}, \frac{3}{4}\right), \mathrm{S} \equiv\left(\frac{18}{7}, \frac{2}{7}\right) \] Which of the following statements is correct?Official answer
From CBSE’s own marking scheme for this paper.
(A)
Z is minimum at $\displaystyle \mathrm{S}\left(\frac{18}{7}, \frac{2}{7}\right)$
Linear ProgrammingLinear Programming Problem and its Mathematical FormulationApplymcqmedium
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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.