5) (15 points) Write down the SOSC for the following optimization problems. a) In the unconstrained maximization problem, let n = 4. b) In the constrained maximization problem, let :1 = 7 and m = 2. c) In the constrained minimization problem, let n = 8 and m = 3. d) In the constrained minimization problem, let n = 3 and m = 4 . 1