Determine the system of linear equation for which the solution set is the shaded region in the following figure

Options

A. If `x+y,4 le 3, x+y le 5, 4x +y ge 4,y ge 0 , x ge 0 `
B. `x le 4, y le 3,x +y ge 5,4x +y le 4, y ge 0 , x ge 0 `
C. `x ge 4 , y ge 3,x+y le 5, 4x +y ge4,y ge 0, x ge 0`
D. `xge 4,y ge3,x+y ge 5, 4x+y le 4,y ge 0 ,`

Answer

A

Explanation

Take a test point (1, 1) that lies with in the feasible region. Since, `(1) + (1) = 2 ge 5,` is true we have `x +y le 5 ` . Since, `1 le 4` and `1 le 3 `are true, we have `x le 4 ` and `y le 3`. Since,` 4 (1) + 1 = 5 ge 4`, we have `4x + y ge 4. `