Consider a consumer with quasilinear utility u(x) = 10ln(x₁) + X₂. (a) Find the Marshallian Demand functions when an interior solution exists. (hint: at interior solutions, there is tangency between the optimal indifference curve and the budget constraint) (b) Is the solution found in part a) always feasible? For what values of p and I is this solution feasible? (c) Given your answer to parts a) and b), write the Marshallian Demands x(p,1) and x(p,1) as piecewise functions. (d) Write the indirect utility function with respect to u.

Consider a consumer with quasilinear utility u(x) = 10ln(x₁) + X₂. (a) Find the Marshallian Demand functions when an interior solution exists. (hint: at interior solutions, there is tangency between the optimal indifference curve and the budget constraint) (b) Is the solution found in part a) always feasible? For what values of p and I is this solution feasible? (c) Given your answer to parts a) and b), write the Marshallian Demands x(p,1) and x(p,1) as piecewise functions. (d) Write the indirect utility function with respect to u.

Microeconomics

13th Edition

ISBN:9781337617406

Author:Roger A. Arnold

Publisher:Roger A. Arnold

Chapter7: Consumer Choice: Maximizing Utility And Behavioral Economics

Section: Chapter Questions

Problem 1WNG

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