Question 5 A utility function is given by u(x₁.x2)=-4x+80x₁8x + 100x2-X1X2- Suppose that prices are p₁ = 5, and p2 = 1. Income is I. 1. Specify the Lagrangean using all three constraints. 2. Use the Lagrangean determine the range of values of income / for which the different constraints may bind. Note: these preferences are not monotone. As a consequence, the budget constraint itself may not bind.
Question 5 A utility function is given by u(x₁.x2)=-4x+80x₁8x + 100x2-X1X2- Suppose that prices are p₁ = 5, and p2 = 1. Income is I. 1. Specify the Lagrangean using all three constraints. 2. Use the Lagrangean determine the range of values of income / for which the different constraints may bind. Note: these preferences are not monotone. As a consequence, the budget constraint itself may not bind.
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Transcribed Image Text:Question 5 A utility function is given by u(x, x2) = -4x + 80x - 8x3 + 100.x2 – x142.
Suppose that prices are pi = 5, and p2 = 1. Income is I.
1. Specify the Lagrangean using all three constraints.
2. Use the Lagrangean determine the range of values of income / for which the
different constraints may bind. Note: these preferences are not monotone. As
a consequence, the budget constraint itself may not bind.
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