question_answer

The minimum value of linear objective function \[c=2x+2y\] under linear constraints \[3x+2y\ge 12\], \[x+3y\ge 11\]  and \[x,\ y\ge 0\], is 

A)                 10          

B)                 12

C)                 6             

D)                 5

Correct Answer: A

Solution :

                Min\[z=2(2)+2(3)\Rightarrow c=10\].