For the constraints of a L.P. problem given by x1 + 2x2 ≤ 2000 ,x1 + x2 ≤ 1500 , x2 ≤ 600 and x1 , x2 ≥ 0, which one of the following points does not lie in the positive bounded region

Question

For the constraints of a L.P. problem given by x1 + 2x2 ≤ 2000 ,x1 + x2 ≤ 1500 , x2 ≤ 600 and x1 , x2 ≥ 0, which one of the following points does not lie in the positive bounded region (A) (1000, 0) (B) (0, 500) (C) (2, 0) (D) (2000, 0)

Tardigrade Admin · Accepted Answer

Clearly point (2000, 0) is outside.

Q. For the constraints of a L.P. problem given by x1​+2x2​≤2000,x1​+x2​≤1500,x2​≤600 and x1​,x2​≥0, which one of the following points does not lie in the positive bounded region

(1000, 0)

(0, 500)

(2, 0)

(2000, 0)

Clearly point (2000, 0) is outside.

Q. For the constraints of a L.P. problem given by $x_{1} + 2 x_{2} \leq 2000, x_{1} + x_{2} \leq 1500, x_{2} \leq 600$ and $x_{1}, x_{2} \geq 0,$ which one of the following points does not lie in the positive bounded region