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Mathematics · 2025 · 3 marks
Linear ProgrammingLinear Programming Problem and its Mathematical Formulation3 marksApplyshort answer
CBSE 2025 · Region 4 · Set 2 · Q31
Solve the following Linear Programming Problem graphically: Minimise Z =3 x +5 y subject to the constraints x +2 y ≥ 10; x + y ≥ 6; 3 x + y ≥ 8; x, y…
Solve the following Linear Programming Problem graphically : Minimise $\displaystyle \mathrm{Z}=3 \mathrm{x}+5 \mathrm{y}$ subject to the constraints \[\begin{aligned} & \mathrm{x}+2 \mathrm{y} \geq 10 \\ & \mathrm{x}+\mathrm{y} \geq 6 \\ & 3 \mathrm{x}+\mathrm{y} \geq 8 \\ & \mathrm{x}, \mathrm{y} \geq 0 \end{aligned} \]
Marking-scheme solution
| Corner Point | Value of $\displaystyle \mathrm{Z}=3 \mathrm{x}+5 \mathrm{y}$ |
| $\displaystyle A(0,8)$ | $\displaystyle 40$ |
| $\displaystyle B(1,5)$ | $\displaystyle 28$ |
| $\displaystyle C(2,4)$ | $\displaystyle 26$ |
| $\displaystyle D(10,0)$ | $\displaystyle 30$ |
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CBSE Class 12 Mathematics past-paper question from the 2025 board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.