Problem 11.1 (equality constrained optimization) Find the solution(s) to the following problems and use the bordered Hessian to check for maximum and minimum. a) Max y = xx2 subject to x + x = 6. b) Max y = x2 + x2 subject to x + 4x = 2. c) Max y = xx subject to x + x = 1. Note that four solutions need to be analyzed.