Question
Find graphically, the maximum value of $\text{z = 2x + 5y},$ subject to constraints given below:
$2x + 4y \leq 8$
$3x + y \leq 6$
$x + y \leq 4$
$x\geq 0, y\geq 0$
$2x + 4y \leq 8$
$3x + y \leq 6$
$x + y \leq 4$
$x\geq 0, y\geq 0$
✓
Answer
Vertices are:$\text{A (0, 2), B(1.6, 1.2), C (2, .0)}$
$\text{Z = 2x + 5y is maximum}$
at A (0, 2) and maximum value = 10
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