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The corner points of the bounded feasible region for an LPP are (0, 20), (3,12), (6,8), and (0,15). The objective function is Z = α x + β y, where α,…

CUET UG 2025 — Mathematics Algebra

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The corner points of the bounded feasible region for an LPP are (0, 20), (3,12), (6,8), and (0,15). The objective function is Z=αx+βyZ = \alpha x + \beta yZ=αx+βy, where α,β>0\alpha, \beta > 0α,β>0. If the maximum of Z occurs at the corner points (3,12) and (6,8), then the relationship between α\alphaα and β\betaβ is:

Official previous-year question

Held on 30 May 2025 · Verified 13 Jul 2026.

Options

  1. A

    α=23β\alpha = \frac{2}{3}\betaα=32​β

  2. B

    β=43α\beta = \frac{4}{3}\alphaβ=34​α

  3. C

    α+β=12\alpha + \beta = \frac{1}{2}α+β=21​

  4. D

    α=43β\alpha = \frac{4}{3}\betaα=34​β

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