Consider the following problem: * Maximize z = x; + 2x, * Subject to: e xl + X2 S _2 ' 4'x1 + X2 S 4 * X1,X2 2 0 1. Using the simplex method demonstrate that this problem has no feasible solutions. 2. Construct the dual of the problem. 3. Usingthe simplex method demonstrate that the dual has an unbounded objective function