A monopoly is designing two take-it-or-leave-it contracts of the form (q., r,) for two consumer types i = A, B where q, is the quantity supplied and r, is the overall price paid for the package. The two consumer types are represented by the following utility functions: UA(x, y) = y + 41 · x, UR(x, y) y-x2 + 91 · x, where x is the number of units of the monopolist's good consumed and y is the remaining income spent on all other goods. You may assume that the income of each consumer is M, where i = A, B. What are the willingness-to-pay and the self-selection constraints for each consumer type? Please make sure to use capital letters A, B not lower-case a, b. To enter a subscript ra, please use the code r_A, and for inequalities <. 2 please use <,>s, The willingness-to-pay constraints are: The self-selection constraints are:

Survey Of Economics
10th Edition
ISBN:9781337111522
Author:Tucker, Irvin B.
Publisher:Tucker, Irvin B.
Chapter9: Monopolistic Competition And Oligoply
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A monopoly is designing two take-it-or-leave-it contracts of the form (gi, r;) for two consumer types i = A, B where q, is the quantity supplied and r; is the overall price paid for the package. The two
consumer types are represented by the following utility functions:
UA(x, y) = y –+ 41 · x, UR(x, y) = y – x² +91 · x,
where x is the number of units of the monopolist's good consumed and y is the remaining income spent on all other goods. You may assume that the income of each consumer is M, where i = A, B.
What are the willingness-to-pay and the self-selection constraints for each consumer type? Please make sure to use capital letters A, B not lower-case a, b. To enter a subscript ra, please use the
code r_A, and for inequalities <, > please use <=,>=,
The willingness-to-pay constraints are:
The self-selection constraints are:
Transcribed Image Text:A monopoly is designing two take-it-or-leave-it contracts of the form (gi, r;) for two consumer types i = A, B where q, is the quantity supplied and r; is the overall price paid for the package. The two consumer types are represented by the following utility functions: UA(x, y) = y –+ 41 · x, UR(x, y) = y – x² +91 · x, where x is the number of units of the monopolist's good consumed and y is the remaining income spent on all other goods. You may assume that the income of each consumer is M, where i = A, B. What are the willingness-to-pay and the self-selection constraints for each consumer type? Please make sure to use capital letters A, B not lower-case a, b. To enter a subscript ra, please use the code r_A, and for inequalities <, > please use <=,>=, The willingness-to-pay constraints are: The self-selection constraints are:
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