A consumer earns I a week and spends his entire weekly income on new dress shirts and ties, because these are the only two items that provide utility to him.
Further- more, he insists that for every shirt he buys, he must
also buy a tie (without the
ties, the new shirts are worthless and vice versa). Let Ps and Pt
denotes the price
of a shirt and the price of a tie, respectively.
(a) Derive the consumer's demand function for shirts and the
demand function for
ties.
(b) Derive the income elasticity of demand for shirts. Are shirts
normal goods or
inferior goods for the consumer? Explain.
(c) Derive the cross-price elasticity of demand for shirts with
respect to ties. Are
shirts and ties substitutes or complements? Explain.
(d) Suppose that the price of a shirt decreases from P's to
P''s.
The price of a tie and the consumer's income remain at Pc and I,
respectively. Let bundle A be
the consumer's choice before the price change, and bundle B be the
choice after
the price change. Decompose the substitution effect and the income
effect, and
explain the result.
A consumer earns I a week and spends his entire weekly income on new dress shirts...
3) (4pts. Consider a consumer who spends all his income on two goods, say 804 that good 1 is an inferior good at the current prices and income). If the price and also the income of the consumer doubles, how does his demand for good at all. Explain. all his income on two goods, say good 1 and good 2. Assume ces and income). If the price of both goods double w does his demand for good 1 change, if...
A consumer uses his income I for the consumption of two goods ?1 and ?2. He maximises utility at given product prices ?1, ?2. His preferences with respect to both products can be described by an ordinal utility function ?(?1,?2), which exhibits a decreasing marginal rate of substitution (normal preferences). Please indicate whether the following statements are right or wrong in this context. If a statement is wrong, then describe briefly what is wrong (one sentence). a) A double value...
2. Consider the following four consumers (C1,C2,C3,C4) with the following utility functions: Consumer Utility Function C1 u(x,y) = 2x+2y C2 u(x,y) = x^3/4y^1/4 C3 u(x,y) = min(x,y) C4 u(x,y) = min(4x,3y) On the appropriate graph, draw each consumer’s indifference curves through the following points: (2,2), (4,4), (6,6) and (8,8), AND label the utility level of each curve. Hint: Each grid should have 4 curves on it representing the same preferences but with different utility levels. 3. In the following parts,...