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Mathematics · 2026 · 5 marks
Linear ProgrammingLinear Programming Problem and its Mathematical Formulation5 marksApplylong answer
CBSE 2026 · Region 3 · Set 1 · Q33
Solve the following Linear Programming Problem graphically: Maximise Z =600 x +400 y subject to the constraints x +2 y ≤ 12; 4 x +5 y ≥ 20; 2 x + y ≤…
Solve the following Linear Programming Problem graphically : \[\text { Maximise } \mathrm{Z}=600 \mathrm{x}+400 \mathrm{y} \] subject to the constraints \[\begin{array}{r} \mathrm{x}+2 \mathrm{y} \leq 12 \\ 4 \mathrm{x}+5 \mathrm{y} \geq 20 \\ 2 \mathrm{x}+\mathrm{y} \leq 12 \\ \mathrm{x}, \mathrm{y} \geq 0 \end{array} \]
Marking-scheme solution
| Corner Points | Value of Z = 600x + 400y |
| A $\displaystyle (4, 4)$ | $\displaystyle 4000$ |
| B $\displaystyle (6, 0)$ | $\displaystyle 3600$ |
| C $\displaystyle (5, 0)$ | $\displaystyle 3000$ |
| D $\displaystyle (0, 4)$ | $\displaystyle 1600$ |
| E $\displaystyle (0, 6)$ | $\displaystyle 2400$ |
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CBSE Class 12 Mathematics past-paper question from the 2026 board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.