question_answer

For the constraints of a L.P. problem given by \[{{x}_{1}}+2{{x}_{2}}\le 2000\],\[{{x}_{1}}+{{x}_{2}}\le 1500\],\[{{x}_{2}}\le 600\]and \[{{x}_{1}},\ {{x}_{2}}\ge 0\], 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)

Correct Answer: D

Solution :

                Clearly point (2000, 0) is outside.