1. Consider the problem of maximizing f(x, y) subject to g(x, y) = 0 where g(x, y) = y - 5 Explain how the maximization problem can be solved without using the method of Lagrange multipliers.
2. Consider the problem of minimizing f(x, y) subject to g(x, y) = 0, where g(x, y) = 4x - y + 3 Explain how the minimization problem can be solved without using the method of Lagrange multipliers.