✓ Board-verified
Mathematics · 2023 · 3 marks
Linear ProgrammingLinear Programming Problem and its Mathematical Formulation3 marksApplyshort answer
CBSE 2023 · Region 1 · Set 2 · Q27
Solve the following linear programming problem graphically: Maximize P =100 x +5 y subject to the constraints x + y ≤ 300; 3 x + y ≤ 600; y ≤ x +200;…
Solve the following linear programming problem graphically : Maximize $\displaystyle \mathrm{P}=100 \mathrm{x}+5 \mathrm{y}$ subject to the constraints \[\begin{array}{r} \mathrm{x}+\mathrm{y} \leq 300 \\ 3 \mathrm{x}+\mathrm{y} \leq 600 \\ \mathrm{y} \leq \mathrm{x}+200 \\ \mathrm{x}, \mathrm{y} \geq 0 \end{array} \]
Marking-scheme solution
Correct Graph
All Linear Programming questions2023 question paperNCERT solutions: Linear ProgrammingPractice Linear Programming →
More from Linear Programming
- The corner points of the feasible region in graphical representation of a L. P. P. are (2,72), (15,20) and (40,15). If Z=18 x+9 y be the objective…2025 · asked 2×
- Solve the following linear programming problem graphically: Maximise z=5 x+4 y subject to the constraints x+2 y ≥ 4; 3 x+y ≤ 6; x+y ≤ 4; x, y ≥ 02024
- For the given graph of a Linear Programming Problem, write all the constraints satisfying the given feasible region.2025
- The graph shown below depicts:2025
- The graph shown below depicts:2025
- Solve the following linear programming problem graphically: Minimize Z=13x-15y Subject to constraints x+y ≤ 7; 2 x-3 y+6 ≥ 0; x ≥ 0, y ≥ 02026
- The degree of an objective function of a linear programming problem is2026
- The number of corner points of the feasible region determined by constraints x ≥ 0, y ≥ 0, x+y ≥ 4 is:2024
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.