Consider the optimization problem max f (x, y) x , y subject to ax + by + c = 0 where f : R2 - R is a continuously differentiable function and ab # 0. Check whether the following statements are TRUE or FALSE a. We can apply the Weirstrass theorem to show that a solution (a* , y* ) exists for this constrained optimization problem (5 pts) b. If (a* , y*) is a solution to this problem, then there exists A* such that (x*, y*, )*) satisfy the Lagrange first order conditions. (5 pts)