Derive the dual specification and assemble the

Question

Question: Given the following programming problem:

                      Z = c'x - x' Dx - y'₂ E₂y₂

subject to            A₁x                  ≤  b₁

                          A₂x - 2 E₂y₂     ≤ b₂

where all the vector variables are nonnegative and the matrix E2 is symmetric positive semidefinite, derive the dual specification and assemble the corresponding KKT conditions into an LC problem.