Now suppose that the relevant budget constraint is I2. Would the individual choose B? Why? 3. Suppose that bundle A in the following figure is chosen by a rational individual (who respects the revealed preferences axiom) when the relevant budget constraint is Ij. (a) Is A revealed preferred to B? (b) Suppose that the relevant budget constraint is I3. Would the individual choose B? Why?

Now suppose that the relevant budget constraint is I2. Would the individual choose B? Why? 3. Suppose that bundle A in the following figure is chosen by a rational individual (who respects the revealed preferences axiom) when the relevant budget constraint is Ij. (a) Is A revealed preferred to B? (b) Suppose that the relevant budget constraint is I3. Would the individual choose B? Why?

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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1. In a simple but delicious world, Joey eats only sandwiches, s, and jam, j. He has a Cobb-Douglas utility function U(j, s) = Nj1-asª, where 0 0. The price of jam is pj, the price of sandwiches is Ps, and Joey has a monthly budget Y to spend on lunch. a. Explain why you can safely use a simpler Cobb-Douglas utility function, V(j, s), to represent Joey's preferences, which is the same as U(j, s) except for replacing N with 1. b. Transform V(j,s) by taking natural logs and bringing down exponents. Explain why it is useful to do this for a Cobb-Douglas utility function, but not for a quasi-linear utility function. Use In(V(j, s)) and the substitution method to derive the formulas for Joey's optimal amount of jam, j*, and sandwiches, s*, to buy and consume per month. Simplify your answers so that you arrive at the С. (1-a)Y aY formulas j* = and s* Ps d. What fraction of his income does Joey spend on jam, and what fraction on sandwiches?
B.3 Marie has preferences over two goods, cake q₁ and bread q2. She chooses quantities to consume so as to best satisfy these preferences subject to the budget constraint p1q1 + P292 y where p₁ and P2 are prices and y is total budget. Suppose that Marie's preferences are represented by utility function u(q1, 92) = 91 + In (bq1 +92) where b≥ 0 is a preference parameter. Assume that p1/bp2 ≥ y/ (P1 - bp2) ≥ 1. (a) Show that Marie's indifference curves are downward sloping and that her weakly preferred sets are convex for all possible values of b. (b) Show that her Marshallian demand for cake gi is Y fi (y, P1, P2) 1 P1-bp2 and find her Marshallian demand for bread, f2 (y, P1, P2). Discuss the shape of Engel curves for the two goods. (c) Explain why Marshallian demand curves for normal goods slope down. Are there any values of b for which either cake or bread could be a Giffen good for Marie? Discuss. (d) Find the form of the indirect utility function and expenditure function and hence…
Question 7 A consumer has a utility function 100-(x₁-4)4 -(x2-3)4 and a budget constraint of 9x1+3x2 <200. How much of good 2 do they consume?
(a) A good is a luxury if it has a budget elasticity larger than 1, (i.e., good k is a luxury if εk ≡∂qk/∂m *m/qk> 1). Show that when a good is a luxury, then if a consumer’s total budget rises, theywill raise the share of their budget they allocate to the good. (b) Suppose m is the total budget a consumer has available to spend on three electronic products,a laptop, a phone and a tablet. Can all three of these goods simultaneously be luxuries? Whyor why not?
Assume the prices of product X and Y are $1.50 and $1.00, respectively, and that Mr. Chen has $24 to spend. Assume a normal indifference curve. Assume that Mr. Chen needs 4 of product X to maximize utility. a. What is the slope of Mr. Chen's budget constraint. b. Write out Mr.Chen's equation to his budget constraint. c. What combination of X and Y will Mr. Chen purchase? d. Now assume that the price of Y changed from $1.00 to $2.00, redo part a, b and c,
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A, B, C
Assume the prices of product X and Y are $1.50 and $1.00, respectively, and that Mr. Chen has $24 to spend. Assume a normal indifference curve. Assume that Mr. Chen needs 4 of product X to maximize utility. a. What is the slope of Mr. Chen's budget constraint. b. Write out Mr.Chen's equation to his budget constraint. c. What combination of X and Y will Mr. Chen purchase? d. Now assume that the price of Y changed from $1.00 to $2.00, redo part a, b and c,
Assume that you have a budget of Taka 4000 that can spend on two goods like: coke and burger. Suppose coke costs Taka 100 per unit and burger costs 400 per unit. Suppose also that your utility function is given by the equation U(B, C) = 20BC. Write your budget equation. What combination of coke and burger should you buy to maximize utility?