(a) Draw the feasible (budget) set of the consumer who buys this bundle ticket and the budget set of the consumer who doesn't buy this bundle ticket, on the same graph, with all relevant intercepts, slopes, intersections and other points. (b) Calculate the optimal bundle for the consumer. Does she buy the bundle ticket or not? (c) If the bundle ticket for $2100 gave permission for x rides in general (rather than 1000), what should x at least be, so that she would prefer buying the bundle ticket (to not buying)?

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
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Chapter1: Making Economics Decisions
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PROBLEM (3) A consumer visiting an amusement park has a budget of $3600 and preferences u(x, y) = xy² over
rides (x) and the composite good (y), with prices px= 3 and px= 1. In addition to the "single ride" tickets for px= 3, the
park also sells a promotional "bundle ticket" of 1000 rides for $2100 (you cannot buy multiple of these bundle tickets;
but just one).
(a) Draw the feasible (budget) set of the consumer who buys this bundle ticket and the budget set of the consumer who
doesn't buy this bundle ticket, on the same graph, with all relevant intercepts, slopes, intersections and other points.
(b) Calculate the optimal bundle for the consumer. Does she buy the bundle ticket or not?
(c) If the bundle ticket for $2100 gave permission for x rides in general (rather than 1000), what should x at least be, so
that she would prefer buying the bundle ticket (to not buying)?
Transcribed Image Text:PROBLEM (3) A consumer visiting an amusement park has a budget of $3600 and preferences u(x, y) = xy² over rides (x) and the composite good (y), with prices px= 3 and px= 1. In addition to the "single ride" tickets for px= 3, the park also sells a promotional "bundle ticket" of 1000 rides for $2100 (you cannot buy multiple of these bundle tickets; but just one). (a) Draw the feasible (budget) set of the consumer who buys this bundle ticket and the budget set of the consumer who doesn't buy this bundle ticket, on the same graph, with all relevant intercepts, slopes, intersections and other points. (b) Calculate the optimal bundle for the consumer. Does she buy the bundle ticket or not? (c) If the bundle ticket for $2100 gave permission for x rides in general (rather than 1000), what should x at least be, so that she would prefer buying the bundle ticket (to not buying)?
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