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Demand functions and their dependence on price

Demand with quasilinear preferences

Homothetic preferences: results

Examples of homotetic preferences

Homogenous of degree 1

Homothetic preferences

Income offer curve and Engel curve

Demand functions and their dependence on income

Optimal choice for Cobb-Douglas preferences

Optimal choice for discrete goods and quasi linear preferences

Optimal choice when preferences are not well behaved

Three strategies for finding the optimal choice

Mathematical formulation of optimal choice and the Lagrangian

Unique optimal choice

Optimal choice

MRS and marginal utility

Marginal utility

Utility functions representing Cobb-Douglas preferences

Cobb-Douglas preferences

Quasi-linear preferences

Utility function when goods are perfect complements

Utility function when goods are perfect substitutes

Monotonic transformation

Cardinal and ordinal utility