A and B are both currently single. They are deciding whether or not they should get married and among other things are considering the effect that marriage will have on the quantity of home commodities that they can produce. While single, A and B cach fac the following budget and time constraints: BC: x = wh TC: 1+h = 1 where h is market hours, w is the market wage. There is a time endowment of 1 unit. If A and B marry, they will face the following budget and time constraints: BCM: x = xA + X = wah + wyha TCM: ta +ha = | TCM: tg + hg = 1 where the superscript M stands for 'married'. Now consider, A has a higher market wage than B does: wa = 4w g . B specializes in home production. In the above scenario, the expression for x, in terms of wy and t is O 4wa (2 - 1) O 4wn (2 - )1 O 8u a (2 - t)

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
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Chapter1: Making Economics Decisions
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Hb is 0 here as B specializes in home production and tb= 1, while ha 1 and ta=0

A and B are both currently single. They are deciding whether or not they should get married and among other things are considering the effect that marriage will have on the quantity of home
commodities that they can produce.
While single, A and B each face the following budget and time constraints:
BC: x = wh
TC: I+h = 1
where h is market hours, w is the market wage. There is a time endowment of 1 unit.
If A and B marry, they will face the following budget and time constraints:
BCM: x = xA + x = wahA + w phB
TCN: tA + h, = |
TCM: tg + hg = 1
where the superscript M stands for 'married'
Now consider, A has a higher market wage than B does: wa = 4w B. B specializes in home production.
In the above scenario, the expression for x, in terms of wR and t is
O 4wa (2 - 1)
4u'x (2 - )1
O 8uw s (2 – t)
Transcribed Image Text:A and B are both currently single. They are deciding whether or not they should get married and among other things are considering the effect that marriage will have on the quantity of home commodities that they can produce. While single, A and B each face the following budget and time constraints: BC: x = wh TC: I+h = 1 where h is market hours, w is the market wage. There is a time endowment of 1 unit. If A and B marry, they will face the following budget and time constraints: BCM: x = xA + x = wahA + w phB TCN: tA + h, = | TCM: tg + hg = 1 where the superscript M stands for 'married' Now consider, A has a higher market wage than B does: wa = 4w B. B specializes in home production. In the above scenario, the expression for x, in terms of wR and t is O 4wa (2 - 1) 4u'x (2 - )1 O 8uw s (2 – t)
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