Free Tools for Rational Education

Mathematical Economics Problems and Solutions  

G. Stolyarov II
Spring 2008
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A sample imageSection 1: Profit Maximization Problems
Section 2: The Lagrangian Method of Constrained Optimization
Section 3: Intertemporal Allocation of a Depletable Resource: Optimization Using the Kuhn-Tucker Conditions
Section 4: Optimization With Inequality Constraints
Graphs for Section 4
Section 5: The Economics of Fisheries
Graphs for Section 5
Section 6: Additional Practice Problems Involving the Kuhn-Tucker Conditions
Section 7: Additional Problems on the Economics of Fisheries
Section 8: The Deacon Model of Forest Economics
Section 9: The Second Order Conditions for Multiple Choice Variables
Section 10: Second Order Conditions: Practice Problems and Solutions
Section 11: Expected Utility: Practice Problems and Solutions
Section 12: Principal-Agent Problems and Designing Contracts Under Asymmetric Information

G. Stolyarov II is an actuary, science-fiction novelist, independent philosophical essayist, poet, amateur mathematician, composer, contributor to Transhumanity, Immortal Life, Enter Stage Right, Le Quebecois Libre, Rebirth of Reason, and the Ludwig von Mises Institute, Senior Writer for The Liberal Institute, and Editor-in-Chief of The Rational Argumentator, a magazine championing the principles of reason, rights, and progress. Mr. Stolyarov also publishes his articles on the Yahoo! Contributor Network to assist the spread of rational ideas. He holds the highest Clout Level (10) possible on the Yahoo! Contributor Network and is one of its Page View Millionaires, with over 2.7 million views. 

Mr. Stolyarov holds the professional insurance designations of Associate of the Society of Actuaries (ASA), Associate of the Casualty Actuarial Society (ACAS), Member of the American Academy of Actuaries (MAAA), Chartered Property Casualty Underwriter (CPCU), Associate in Reinsurance (ARe), Associate in Regulation and Compliance (ARC), Associate in Personal Insurance (API), Associate in Insurance Services (AIS), Accredited Insurance Examiner (AIE), and Associate in Insurance Accounting and Finance (AIAF).

Mr. Stolyarov has written a science fiction novel, Eden against the Colossus, a non-fiction treatise, A Rational Cosmology, and a play, Implied Consent. You can watch his YouTube Videos. Mr. Stolyarov can be contacted at

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Learn about Mr. Stolyarov's novel, Eden against the Colossus, here.

Read Mr. Stolyarov's new comprehensive treatise, A Rational Cosmology, explicating such terms as the universe, matter, space, time, sound, light, life, consciousness, and volition, here.

Read Mr. Stolyarov's new four-act play, Implied Consent, a futuristic intellectual drama on the sanctity of human life, here.