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Mathematics · 2025 · 3 marks
Linear ProgrammingLinear Programming Problem and its Mathematical Formulation3 marksApplyshort answer
CBSE 2025 · Region 4 · Set 1 · Q31
Solve the following Linear Programming Problem using graphical method: Maximise Z =100 x +50 y subject to the constraints 3 x + y ≤ 600; x + y ≤ 300;…
Solve the following Linear Programming Problem using graphical method : Maximise $\displaystyle \mathrm{Z}=100 \mathrm{x}+50 \mathrm{y}$ subject to the constraints \[\begin{aligned} & 3 \mathrm{x}+\mathrm{y} \leq 600 \\ & \mathrm{x}+\mathrm{y} \leq 300 \\ & \mathrm{y} \leq \mathrm{x}+200 \\ & \mathrm{x} \geq 0, \mathrm{y} \geq 0 \end{aligned} \]
Marking-scheme solution
| Corner Point | Value of $\displaystyle Z = 100x + 50y$ |
| $\displaystyle O(0,0)$ | $\displaystyle 0$ |
| $\displaystyle A(0,200)$ | $\displaystyle 10000$ |
| $\displaystyle B(50,250)$ | $\displaystyle 17500$ |
| $\displaystyle C(150,150)$ | $\displaystyle 22500$ |
| $\displaystyle D(200,0)$ | $\displaystyle 20000$ |
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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.