CBSE 2025 · Region 4 · Set 1 · Q18 · 1 mark
The corner points of the feasible region of a Linear Programming Problem are $\displaystyle (0,2),(3,0),(6,0),(6,8)$ and $\displaystyle (0,5)$. If $\displaystyle \mathrm{Z}=\mathrm{ax}+\mathrm{by} ;(\mathrm{a}, \mathrm{b}>0)$ be the objective function, and maximum value of Z is obtained at $\displaystyle ( 0,2 )$ and $\displaystyle (3,0)$, then the relation between a and b is :
Official answer
From CBSE’s own marking scheme for this paper.
(D)
$\displaystyle 3 \mathrm{a}=2 \mathrm{~b}$
Linear ProgrammingLinear Programming Problem and its Mathematical FormulationAnalysemcqmedium
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…2025 · asked 6×
- Solve the following linear programming problem graphically: Minimize Z=13x-15y Subject to constraints2026 · asked 3×
- The degree of an objective function of a linear programming problem is2026 · asked 3×
- The number of corner points of the feasible region determined by constraints x ≥ 0, y ≥ 0, x+y ≥ 4 is:2024 · asked 3×
- For a Linear Programming Problem (LPP), the given objective function Z=3 x+2 y is subject to constraints: The…2025 · asked 3×
- Assertion: The shaded portion of the graph represents the feasible region for the given Linear Programming…2025 · asked 3×
- A factory produces two products X and Y. The profit earned by selling X and Y is represented by the objective…2025 · asked 3×
- Which of the following points satisfies both the inequations 2 x+y ≤ 10 and x+2 y ≥ 8?2023 · asked 3×
CBSE Class 12 Mathematics past-paper question from the 2025board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.