Maximise Z=3x+4y, Subjected to the constraints `x+y le1, x ge 0, y ge 0`

Answer

N/a

Explanation

The shaded Z=3x_4y, subjected to the constraints
`x+y le 1, x ge 0, y ge 0`
The shaded region shown in the figure of OAB is bounded and the coordinated of the points O, A and B are (0,0), (1,0) and (0,1) respectively

Hence, the maximum value of Z is 4 at (0,1).