The shaded part of given figure indicates infeasible region

then the constsriants are

Options

A. `x,y ge0 ,x+y ge 0, x ge 5 , y le 3 `
B. ` x,y ge 0, x-y ge 0, x le 5 , y le 3 `
C. `x,y ge 0, x-y ge 0, x le 5, y ge 3 `
D. `x,y ge 0 , x -y le 0, x le 5,y le 3 `

Answer

B

Explanation

In the given figure, we see that OC line passing through (0, 0) and (13, 3).
`therefore ` Equation of line is y = x. Also, we see that shaded portion of this line is towards the X-axis, so we take `x-y ge 0 `
In the figure, line AB is parallel to Y-axis.
Equation of line AB is x = 5, also shaded portion of this line is towards the origin, so we take `x -5 le or y le 5` . In the figure, line BC is parallel to X-axis.
`therefore ` Equation of line BC is y = 3. Also, shaded portion of this line is towards the origin, so we take y `y-3 le 0 or y le 3.` . Also, the shaded region lies in first quadrant, so x ` le 0 " and " y ge 0` . Hence, constraints of given shaded region are ` x,y ge 0 , x-y ge 0, x le 5, y le 3 `