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Linear Programming — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsLinear Programming1 Mark
MCQ
Maximize $Z = 3x + 5y,$ subject to constraints: $\text{x}+4\text{y}\leq24,3\text{x}+\text{y}\leq21,\text{x}+\text{y}\geq9,\text{x}\geq0,\text{y}\geq0.$
  • A
    $20$ at $(1, 0)$
  • B
    $30$ at $(0, 6)$
  • ✓
    $37$ at $(4, 5)$
  • D
    $33$ at $(6, 3)$
✓

Answer

Correct option: C.
$37$ at $(4, 5)$
Find the maximum value of $Z = 3x + 5y$ referring to the explanation of $Q.5.$

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