4. The following data pertain to products A and B, both of which are purchased by Jay. Initially, the prices of the products and quantities consumed are: PA = $10; QA = 3; PB = $10; QB = 7 Jay has $100 to spend. After a reduction in price of B, the prices and quantities consumed are: PA $10; QA = 2:5; PB = $5; QB 15 Assume that Jay maximizes utility under both price conditions above. Also, note that if after the price reduction enough income were taken away from Jay to put him back on the original indifference curve, he would consume this combination of A and B: QA 1:5; QB = 9 Determine the change in consumption of good B due to the (1) the substitution effect and (2) the income effect using Hicks decomposition.

4. The following data pertain to products A and B, both of which are purchased by Jay. Initially, the prices of the products and quantities consumed are: PA = $10; QA = 3; PB = $10; QB = 7 Jay has $100 to spend. After a reduction in price of B, the prices and quantities consumed are: PA $10; QA = 2:5; PB = $5; QB 15 Assume that Jay maximizes utility under both price conditions above. Also, note that if after the price reduction enough income were taken away from Jay to put him back on the original indifference curve, he would consume this combination of A and B: QA 1:5; QB = 9 Determine the change in consumption of good B due to the (1) the substitution effect and (2) the income effect using Hicks decomposition.

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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Columns 1 through 4 of the accompanying table show the marginal utility, measured in utils, that Ricardo would get by purchasing various amounts of products A, B, C, and D. Column 5 shows the marginal utility Ricardo gets from saving. Assume that the prices of A, B, C, and D are $18, $6, $4, and $24, respectively, and that Ricardo has an income of $105. What quantities of A, B, C, and D will Ricardo purchase in maximizing his utility? How many dollars will Ricardo choose to save? Check your answers by substituting them into the algebraic statement of the utility‑maximizing rule. In other words, show it works when using this rule.
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