Maximise $Z = 3x + 4y,$ subject to the constraints $x + y \le 1,x \ge 0,y \ge 0$.
Maximise $Z = 3x + 4y,$ subject to the constraints $x + y \le 1,x \ge 0,y \ge 0$.
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Maximise $Z = 3x + 4y,$ Subject to the constraints
$x + y \le 1,x \ge 0,y \ge 0$
The shaded region shown in the figure as OAB is bounded and the coordinates of corner
points ${\rm{O}},{\rm{A}}$ and ${\rm{B}}$
are (0,0),(1,0) and $(0,1),$ respectively.
Hence, the maximum value of Z is 4 at (0,1)
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