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Mathematics · 2026 · 5 marks
Linear ProgrammingLinear Programming Problem and its Mathematical Formulation5 marksApplylong answer
CBSE 2026 · Region 3 · Set 3 · Q34
Solve the following Linear Programming Problem graphically: Maximize Z =8 x +8 y subject to the constraints x -20 ≤ 0; 2 x +3 y ≤ 120; 2 x + y ≤ 60;…
Solve the following Linear Programming Problem graphically : \[\text { Maximize } \mathrm{Z}=8 \mathrm{x}+8 \mathrm{y} \] subject to the constraints \[\begin{array}{r} \mathrm{x}-20 \leq 0 \\ 2 \mathrm{x}+3 \mathrm{y} \leq 120 \\ 2 \mathrm{x}+\mathrm{y} \leq 60 \\ \mathrm{x} \geq 0, \mathrm{y} \geq 0 \end{array} \]
Marking-scheme solution
| Corner Points | Value of Z = 8x + 8y |
| $\displaystyle (20, 0)$ | $\displaystyle 160$ |
| $\displaystyle (20, 20)$ | $\displaystyle 320$ |
| $\displaystyle (15, 30)$ | $\displaystyle 360$ |
| $\displaystyle (0, 40)$ | $\displaystyle 320$ |
| $\displaystyle (0, 0)$ | $\displaystyle 0$ |
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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.