Consider the problem Minimize X ERS Subject to 4x7 + x3 = 16 2x2 + 3x3 = 25. Let x* = [ 0 4 47 ] and x = [0 -4 11 ]]. (a) Show that x* and x are regular points. (b) Show that x* and x are constrained stationary points. (c) Verify that x* satisfies the second-order sufficient condition for a strict local mini- mizer of the problem, while x satisfies the second order sufficient conditions for a strict local maximum. (d) Calculate the value of the objective function at x* and x. Are these the global extrema for this