Sarah with preferences U = c1^1/3, c2^2/3 has a human capital production function R = 6E1/2. She earns income m1 = $12 and m2 = $12 and can borrow or lend at an interest rate of 50 percent. Provide calculations and a labelled diagram to evaluate Sarah's optimal expenditures on food and education and how these choices should be financed. What proportion of her lifetime earnings does she spend on c1? Show the Hicksian IE and SE when 1+r1.

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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Sarah with preferences U = c1^1/3, c2^2/3 has a
human capital production function R = 6E1/2.
She earns income m1 = $12 and m2 = $12 and
can borrow or lend at an interest rate of 50
percent. Provide calculations and a labelled
diagram to evaluate Sarah's optimal
expenditures on food and education and how
these choices should be financed. What
proportion of her lifetime earnings does she
spend on c1? Show the Hicksian IE and SE when
1+r = 1.
Transcribed Image Text:Sarah with preferences U = c1^1/3, c2^2/3 has a human capital production function R = 6E1/2. She earns income m1 = $12 and m2 = $12 and can borrow or lend at an interest rate of 50 percent. Provide calculations and a labelled diagram to evaluate Sarah's optimal expenditures on food and education and how these choices should be financed. What proportion of her lifetime earnings does she spend on c1? Show the Hicksian IE and SE when 1+r = 1.
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