MSc Economics Preparatory Module

1. Which of the following statements are true for any function when ? (Multiple choice)

2. When can you be sure to have found the unique solution of an unconstrained maximization problem with objective ? (Multiple choice)

3. What is the global maximizer of ?

4. Suppose you are concerned with finding the global maximizer(s) in an unconstrained optimization problem with objective function that is twice differentiable. Which candidates can not be ruled out as a potential solution by the first and second order conditions? (Multiple choice)

5. Select the requirements of the Weierstrass Extreme Value theorem, which together are a sufficient condition for existence of global extremizers in the unconstrained problem. (Multiple choice)

Question 1 of 5

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