Question
An individual has the following preferences defined over consumption of a composite good c (with a per unit price p normalized to 1) and leisure
An individual has the following preferences defined over consumption of a composite good c (with a per unit price p normalized to 1) and leisure h 0 measured in hours: U = h1/3c2/3. Her total daily time constraint isH = 24 = h + l hours (where l 0 denotes her labor supply in hours) and her daily non-labor income is y = $480.
Answer each of the following questions based on the above information. Round yourFINALnumerical answers to the nearest 2nd decimal place (0.01).
a). Assuming the hourly wage is w = $5, calculate this individual's daily consumption of leisure, h.
b). Again, assuming the hourly wage is w = $5, calculate her daily consumption of the composite good, c.
c). Assuming the hourly wage is w = $15, calculate this individual's daily consumption of leisure, h.
d). Again assuming the hourly wage is w = $15, calculate this individual's daily consumption of the composite good c .
e). Calculate the threshold level of the wage, above which she would work (l > 0) or (h < H = 24).
f). Is she happier when the going wage is lower (e.g., $5) or higher (e.g., $15)?
A. When the wage is higher. B. When the wage is lower.
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