1.4. Consider two economies, labelled A and B. In each one, let every two-period-lived person be endowed with 20 units of the consumption when young and nothing when old. In Economy A, each young person chooses to consume 10 units of the consump- tion good. In Economy B, each young person chooses to consume 8 units of the con- sumption good. In each economy, the young person's choice is the one that maximizes lifetime welfare. a. What, if anything, can you infer about the welfare level of the current and future generations from this information? Specifically, is one on an indifference curve representing greater welfare than the other? b. What, if anything can you infer about the welfare of the initial old from the descrip- tion given for Economies A and B?

1.4. Consider two economies, labelled A and B. In each one, let every two-period-lived person be endowed with 20 units of the consumption when young and nothing when old. In Economy A, each young person chooses to consume 10 units of the consump- tion good. In Economy B, each young person chooses to consume 8 units of the con- sumption good. In each economy, the young person's choice is the one that maximizes lifetime welfare. a. What, if anything, can you infer about the welfare level of the current and future generations from this information? Specifically, is one on an indifference curve representing greater welfare than the other? b. What, if anything can you infer about the welfare of the initial old from the descrip- tion given for Economies A and B?

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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1.4. Consider two economies, labelled A and B. In each one, let every two-period-lived person be endowed with 20 units of the consumption when young and nothing when old. In Economy A, each young person chooses to consume 10 units of the consump- tion good. In Economy B, each young person chooses to consume 8 units of the con- sumption good. In each economy, the young person's choice is the one that maximizes lifetime welfare. a. What, if anything, can you infer about the welfare level of the current and future generations from this information? Specifically, is one on an indifference curve representing greater welfare than the other? b. What, if anything can you infer about the welfare of the initial old from the descrip- tion given for Economies A and B?
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a) The s utility function is given as follows: U(z,y) = x+y The budget-constrained of 8 in spending money on the watching cricket match and movies as follows: 845x + 36y= 324 Now the utility function for finding the optimal bundle of preferences The bundle of a and y is under budget Now the Bundle of (x, y) is (2, 2) 45(2) 36(1) 45x + 36y= 324 36(2) 324 324 162 < 324 The MRS is one means to get an additional unit of zone unit of y will sacrifice and to get one additional unit of y, one unit of z will sacrifice. The budget line explain if (x, y) is (1, 1) 45(1) then = 324 $81 < 324 Now the Bundle of (x, y) is (3, 3) 90+72 Now the Bundle of (x, y) is (4,4) 45x+36y 324 45(3) 36(3) 324 135+108 324 243 < 324 = U(x, y) = x+y dU 45x + 36y= 324 45(4) 36(4) 324 180+144 324 324 324 = 1 dz MU2=1 du dy MUy=1 MRS MUT Pz MUY Py MRS=1 =1 MU MUy So the optimal bundle for S is 4 unit of z and 4 unit of y that is (4,4).