Suppose life expectancy in years (L) is a function of two inputs, health expenditures (H) and nutrition expenditures (N) in nundreds of dollars per year. The production function is L=CHO 40N0.60 Beginning with a health input of $300 per year (H = 3) and a nutrition input of $500 per year (N=5), show that the marginal product of health expenditures and the marginal product of nutrition expenditures are both decreasing. The change in the marginal product of health expenditures (MPH) is AMPH %3D ΔΗ and the change in the marginal product of nutrition expenditures (MPN) is AMPN %3! AN

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Suppose life expectancy in years (L) is a function of two inputs, health expenditures (H) and nutrition expenditures (N) in
hundreds of dollars per year. The production function is
L= cH° 40N0.60
Beginning with a health input of $300 per year (H = 3) and a nutrition input of $500 per year (N = 5), show that the
marginal product of health expenditures and the marginal product of nutrition expenditures are both decreasing.
The change in the marginal product of health expenditures (MPH) is
AMPH
ΔΗ
and the change in the marginal product of nutrition expenditures (MPN) is
AMPN
ΔΝ
Transcribed Image Text:Suppose life expectancy in years (L) is a function of two inputs, health expenditures (H) and nutrition expenditures (N) in hundreds of dollars per year. The production function is L= cH° 40N0.60 Beginning with a health input of $300 per year (H = 3) and a nutrition input of $500 per year (N = 5), show that the marginal product of health expenditures and the marginal product of nutrition expenditures are both decreasing. The change in the marginal product of health expenditures (MPH) is AMPH ΔΗ and the change in the marginal product of nutrition expenditures (MPN) is AMPN ΔΝ
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