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Mathematics · 2023 · 5 marks
Linear ProgrammingLinear Programming Problem and its Mathematical Formulation5 marksApplylong answer
CBSE 2023 · Region 5 · Set 1 · Q34
Solve the following Linear Programming Problem graphically: Maximize: P =70 x+40 y subject to: 3 x+2 y ≤ 9; 3 x+ y ≤ 9; x ≥ 0, y ≥ 0
Solve the following Linear Programming Problem graphically : \[\begin{array}{ll} \text { Maximize : } & \mathrm{P}=70 x+40 \mathrm{y} \\ \text { subject to : } & 3 x+2 \mathrm{y} \leq 9 \\ & 3 x+\mathrm{y} \leq 9 \\ & x \geq 0, \mathrm{y} \geq 0 \end{array} \]
Marking-scheme solution
| Corner Points | Value of P |
| O $\displaystyle (0,0)$ | $\displaystyle 0$ |
| B $\displaystyle (0,4.5)$ | $\displaystyle 180$ |
| C $\displaystyle (3,0)$ | $\displaystyle 210$ → Max Value |
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CBSE Class 12 Mathematics past-paper question from the 2023 board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.