I) For each question, choose the correct answer. 1 x5 - 5 marks Let f and g be functions defined on R" and c a real number. Consider the following two problems, Problem 1: max f(x) and Problem 2: max f() subject to g(x) = c. 1. Any solution of problem 1 is also a solution of problem 2. True or false? 2. If Problem 1 does not have a solution, then Problem 2 does not have a solution. True or false? 3. Problem 2 is equivalent to min - f(x) subject to g(x) = c. True or false? 4. In Problem 2, quasi-convexity of f is a sufficient condition for a point satisfying the first-order conditions to be a global minimum. True or false? 5. Consider the function f(x, y) = 5x - 17y. f is a) quasi-concave b) quasi-convex c) quasi-concave and quasi-convex d) no correct