hi looking for some help on this question, specifically part b

Mathematics Cluster MATH30511 First Half Year Page 5 of 6 2021/22 3. (a) Consider the following optimisation problem minimise 2x7 + 3x2 subject to x1 + x2 R, fi(x) : Rn - R. Let g()) denote the Lagrange dual function, where > is the Lagrange multiplier. (i) Suppose we are told that g(5) = 10 and g(10) = 30. Which of the following options gives a valid value for g(8)? Justify your answer. A. 25; B. 21; C. 20; D. 18. (ii) Suppose we perturb the above optimisation problem to get: minimise fo(x) subject to fi( x)