(a) Show what the consumer's indifference cur- ves look like when consumption and leisure are perfect substitutes, and determine graphically and algebraically what con- sumption bundle the consumer chooses. Show that the consumption bundle the con- sumer chooses depends on the relationship between a/b and w, and explain why.

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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2. In this chapter, we showed an example in which
the consumer has preferences for consump-
tion with the perfect complements property.
Suppose, alternatively, that leisure and con-
sumption goods are perfect substitutes. In this
case, an indifference curve is described by the
equation
i = al+ bC,
where a and b are positive constants, and u is
the level of utility. That is, a given indifference
curve has a particular value for u,
indifference curves having higher values for u.
(a) Show what the consumer's indifference cur-
with higher
ves look like when consumption and leisure
are perfect substitutes, and determine
graphically and algebraically what con-
sumption bundle the consumer chooses.
Show that the consumption bundle the con-
sumer chooses depends on the relationship
between a/b and w, and explain why.
(b) Do you think it likely that any consumer
would treat consumption goods and leisure
as perfect substitutes?
Transcribed Image Text:2. In this chapter, we showed an example in which the consumer has preferences for consump- tion with the perfect complements property. Suppose, alternatively, that leisure and con- sumption goods are perfect substitutes. In this case, an indifference curve is described by the equation i = al+ bC, where a and b are positive constants, and u is the level of utility. That is, a given indifference curve has a particular value for u, indifference curves having higher values for u. (a) Show what the consumer's indifference cur- with higher ves look like when consumption and leisure are perfect substitutes, and determine graphically and algebraically what con- sumption bundle the consumer chooses. Show that the consumption bundle the con- sumer chooses depends on the relationship between a/b and w, and explain why. (b) Do you think it likely that any consumer would treat consumption goods and leisure as perfect substitutes?
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