✓ Board-verified
Mathematics · 2024 · 3 marks
Linear ProgrammingLinear Programming Problem and its Mathematical Formulation3 marksApplyshort answer
CBSE 2024 · Region 3 · Set 3 · Q26
Solve the following linear programming problem graphically: Maximize z = x + y subject to constraints 2 x +5 y ≤ 100; 8 x +5 y ≤ 200; x ≥ 0, y ≥ 0
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 $\displaystyle z = 4x + 3y$ |
| $\displaystyle O(0,0)$ | $\displaystyle 0$ |
| $\displaystyle A(25,0)$ | $\displaystyle 25$ |
| $\displaystyle B\left(\dfrac{50}{3},\dfrac{40}{3}\right)$ | $\displaystyle 30$ |
| $\displaystyle C(0,20)$ | $\displaystyle 20$ |
All Linear Programming questions2024 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 2024 board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.