CBSE 2024 · Region 3 · Set 3 · Q26 · 3 marks
Solve the following linear programming problem graphically : Maximize $\displaystyle \mathrm{z}=\mathrm{x}+\mathrm{y}$ subject to constraints \[\begin{aligned} & 2 \mathrm{x}+5 \mathrm{y} \leq 100 \\ & 8 \mathrm{x}+5 \mathrm{y} \leq 200 \\ & \mathrm{x} \geq 0, \mathrm{y} \geq 0 \end{aligned} \]
Marking-scheme solution
| Corner Point | Value of $\displaystyle z = 4x + 3y$ |
| $\displaystyle O(0,0)$ | $\displaystyle 0$ |
| $\displaystyle A(25,0)$ | $\displaystyle 25$ |
| $\displaystyle B\left(\dfrac{50}{3},\dfrac{40}{3}\right)$ | $\displaystyle 30$ |
| $\displaystyle C(0,20)$ | $\displaystyle 20$ |
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CBSE Class 12 Mathematics past-paper question from the 2024board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.