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COMM 161 Final Exam Review

# COMM 161 Final Exam Review - GeneralInformation...

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05/12/2011 1 COMM 161 Final Exam Review General Information 3 hours Aids: only calculators are allowed The final exam is comprehensive 6 questions (with parts) Contents Overview (1) 1. Linear algebra (10 15/100 marks) Formulate and solve a system of linear equations, OR Analyze a small Input/Output model 2 P b bilit (10 15/100 k ) 2. Probability (10 15/100 marks) Formulate and analyze a Markov System model Possible additional question on probability rules (addition, multiplication), conditional probability and/or Bayes’ Contents Overview (2) 3. Calculus techniques a. Find a derivative of a given function (DO NOT simplify) b Implicitly differentiate a function (possibly find a b. Implicitly differentiate a function (possibly, find a tangent line) c. Find and classify all stationary points of a function of 2 variables d. Indefinite integral Note: depending on complexity, this question may have only 3 parts. Contents Overview (3) 4. Constrained multivariate optimization (e.g. portfolio optimization, production maximization, etc) 5 Lot sizing/inventory 5. Lot sizing/inventory 6. Given a demand and supply curves Find elasticity of demand and interpret its values Find Consumers’ and Producers’ surpluses 1. Linear Algebra (1) Formulate and solve a system of linear equations: The Fancy French Perfume Company recently had its secret formula divulged. It was using, as the three ingredients,

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