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Linear Programming — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsLinear Programming1 Mark
MCQ
Choose the correct answer from the given four options. The feasible solution for a $\text{LPP}$ is shown in. Let $Z = 3x - 4y$ be the objective function. Maximum of $Z$ occurs at :
  • ✓
    $(5, 0)$
  • B
    $(6, 5)$
  • C
    $(6, 8)$
  • D
    $(4, 10)$
✓

Answer

Correct option: A.
$(5, 0)$
Corner points
Corresponding value of $Z = 3x - 4y$
$(0, 0)$
$(5, 0)$
$(6, 5)$
$(6, 8)$
$(4, 10)$
$(0, 8)$
$0$
$15 ($Maxmimum)
$-2$
$-14$
$-28$
$-32$
Hence, maximum of $Z$ occurs at $(5, 0)$ and its maximum value is $27.$

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