Question 4[20pts] : Consider the following problem Max2x1+5x2+4x3subjectto:x1+2x2+4x3103x1+3x2+2x310x1,x2,x30 i Construct the dual problem. 2 ii Use the weak duality theorem to demonstrate that the optimal value of objective function cannot exceed 25 . iii Derive the basic solution and objective function value when x2 and x3 are basic variables. Simultaneously derive the corresponding dual solution without explicitly solving the dual. Then draw your conclusions about whether these two basic solutions are optimal for their respective problems using complimentary slackness conditions