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Mathematics · 2024 · 3 marks
Linear ProgrammingLinear Programming Problem and its Mathematical Formulation3 marksApplyshort answer
CBSE 2024 · Region 3 · Set 2 · Q28
Solve the following linear programming problem graphically: Minimize z =600 x +400 y, subject to the constraints x + y ≥ 8; x +2 y ≤ 16; 4 x + y ≤…
Solve the following linear programming problem graphically : Minimize $\displaystyle \mathrm{z}=600 \mathrm{x}+400 \mathrm{y}$, subject to the constraints \[\begin{aligned} & \mathrm{x}+\mathrm{y} \geq 8 \\ & \mathrm{x}+2 \mathrm{y} \leq 16 \\ & 4 \mathrm{x}+\mathrm{y} \leq 29 \\ & \mathrm{x}, \mathrm{y} \geq 0 \end{aligned} \]
Marking-scheme solution
| Corner Point | Value of $\displaystyle z = 600x + 400y$ |
| $\displaystyle A(7,1)$ | $\displaystyle 4600$ |
| $\displaystyle B(6,5)$ | $\displaystyle 5600$ |
| $\displaystyle C(0,8)$ | $\displaystyle 3200$ |
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CBSE Class 12 Mathematics past-paper question from the 2024 board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.