Consider the following primal problem: maximize ₁ + 2x2 subject to - 2x1 + x2 + x3 2 = 7 - x1 + 2x₂ + x4 x1 + 25 = 3 Ti 0, i 1, 2, 3, 4, 5. a. Construct the dual problem corresponding to the primal problem above. = b. It is known that the solution to the primal above is ** = [3, 5,3,0,0]T. Find the solution to the dual.