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One article shows a relationship between per capita health care spending h, in thousands of U.S. dollars per person per year, and life expectancy E, in years. The following formula is adapted from that article: E = 72.23 + 3.85h - 0.37h². We should point out that this article includes no justification for the type of model used. (a) Plot the graph of E versus h. Include spending levels from $1000 to $9000 per person per year (so a horizontal span of 1 to 9). E E 85 85 80 O 75 E 85 80 75 2 2 4 4 10 years 6 6 8 8 thousand dollars per person per year 2 80 75 O E 85 80 75 2 2 4 4 6 8 8 h (b) According to this model, what health care expenditure corresponds to maximum longevity? Round your answer in thousands of dollars per person per year to two decimal places. h (c) What optimum life expectancy is given by this model? (For comparison, in 2011, in the United States, per capita health care spending was $8745 and life expectancy was 78.7 years.)

One article shows a relationship between per capita health care spending h, in thousands of U.S. dollars per person per year, and life expectancy E, in years. The following formula is adapted from that article: E = 72.23 + 3.85h - 0.37h². We should point out that this article includes no justification for the type of model used. (a) Plot the graph of E versus h. Include spending levels from $1000 to $9000 per person per year (so a horizontal span of 1 to 9). E E 85 85 80 O 75 E 85 80 75 2 2 4 4 10 years 6 6 8 8 thousand dollars per person per year 2 80 75 O E 85 80 75 2 2 4 4 6 8 8 h (b) According to this model, what health care expenditure corresponds to maximum longevity? Round your answer in thousands of dollars per person per year to two decimal places. h (c) What optimum life expectancy is given by this model? (For comparison, in 2011, in the United States, per capita health care spending was $8745 and life expectancy was 78.7 years.)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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One article shows a relationship between per capita health care spending h, in thousands of U.S. dollars per person per year, and life expectancy E, in years. The following formula is adapted from that article: E = 72.23 + 3.85h - 0.37h². We should point out that this article includes no justification for the type of model used. (a) Plot the graph of E versus h. Include spending levels from $1000 to $9000 per person per year (so a horizontal span of 1 to 9). E E 85 85 80 O 75 E 85 80 75 2 2 4 4 10 years 6 6 8 8 thousand dollars per person per year 2 80 75 O E 85 80 75 2 2 4 4 6 8 8 h (b) According to this model, what health care expenditure corresponds to maximum longevity? Round your answer in thousands of dollars per person per year to two decimal places. h (c) What optimum life expectancy is given by this model? (For comparison, in 2011, in the United States, per capita health care spending was $8745 and life expectancy was 78.7 years.)
Transcribed Image Text:One article shows a relationship between per capita health care spending h, in thousands of U.S. dollars per person per year, and life expectancy E, in years. The following formula is adapted from that article: E = 72.23 + 3.85h - 0.37h². We should point out that this article includes no justification for the type of model used. (a) Plot the graph of E versus h. Include spending levels from $1000 to $9000 per person per year (so a horizontal span of 1 to 9). E E 85 85 80 O 75 E 85 80 75 2 2 4 4 10 years 6 6 8 8 thousand dollars per person per year 2 80 75 O E 85 80 75 2 2 4 4 6 8 8 h (b) According to this model, what health care expenditure corresponds to maximum longevity? Round your answer in thousands of dollars per person per year to two decimal places. h (c) What optimum life expectancy is given by this model? (For comparison, in 2011, in the United States, per capita health care spending was $8745 and life expectancy was 78.7 years.)
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