Mathematics, 17.10.2019 20:20 mylanag12
There are two individuals, a and b, in an economy. each derives utility from his consumption, c, and the fraction of his time spent on leisure, l, according to the utility function: u = ln(c) + ln(l) however, a is made very unhappy if b’s consumption falls below 1 unit, and he makes a transfer, g, to ensure that it does not. b has no concern for a. a faces a wage rate of 10 per period, and b a wage rate of 1 per period.
for what fraction of the time does each work, and how large is the transfer g?
i would prefer it if this can be solved using the lagrange multiplier.
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