question_answer

For the L.P. problem Min\[z=-{{x}_{1}}+2{{x}_{2}}\] such that \[-{{x}_{1}}+3{{x}_{2}}\le 0,\]\[{{x}_{1}}+{{x}_{2}}\le 6,\ {{x}_{1}}-{{x}_{2}}\le 2\]and \[{{x}_{1}},\ {{x}_{2}}\ge 0\],\[{{x}_{1}}=\]

A)                 2             

B)                 8

C)                 10          

D)                 12

Correct Answer: A

Solution :

                \[(3,\,1),(2,\,0)\]are vertices of Min z for (2, 0)                 Hence \[{{x}_{1}}=2\].