MCQ
Maximize $Z = 6x + 4y,$ subject to $\text{x}\leq2,\text{x}+\text{y}\leq3,-2\text{x}+\text{y}\leq1,\text{x}\geq0,\text{y}\geq0.$
  • A
    $12$ at $(2, 0)$
  • B
    $16$ at $(2, 1)$
  • $\frac{140}{3}$ at $\Big(\frac{2}{3},\frac{1}{3}\Big)$
  • D
    $4$ at $(0, 1)$

Answer

Correct option: C.
$\frac{140}{3}$ at $\Big(\frac{2}{3},\frac{1}{3}\Big)$

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