Solve d

maxf(x1,x2,x3)=x1+x3s.t.2x1x2+x32x2+x32x1+x2+x30 a. This optimisation problem has (multiple correct choices are possible): A. A convex objective function; B. A concave objective function; C. A convex region; D. A non-convex region; E. Several concave constraints; F. A non-convex and non-concave objective function. [2.5 marks] b. The values of Lagrange multipliers of this optimisation problem are (multiple correct choices are possible): c. Write down all the active constraints of the above optimisation problem: [2.5 marks] d. Choose all the correct statements (multiple correct choices are possible), and provide a brief explanation: A. This problem only has one global maximum solution, and this is (2,2,0); B. This problem only has one global maximum solution, but (2,2,0) is only a local not global maximum solution; C. This problem only has one global maximum solution, and this is (1,1,1); D. This problem only has one global maximum solution, but (1,1,1) is only a local not global maximum solution: E. This problem only has two global maximum solutions, and they are (2,2, 0) and (1,1,1); F. This problem has more than two global maximum solutions. [5.0 marks]