Health economists in Alberta have determined that the following Rational Relation, C(x) x+1300 100-x represents the expected cost, C(x), in millions of dollars, to vaccinate x% of the Alberta population against COVID-19, once a vaccine becomes available and has been purchased by the federal government and distributed to each province. 3 a) Graph the relation on the mathematical domain using Desmos and appropriately label and title the graph. Attach the graph with this submission. b) Simplify the right hand side of this relation to one fraction, fully factored. Clearly show the algebra.

EBK HEALTH ECONOMICS AND POLICY
7th Edition
ISBN:9781337668279
Author:Henderson
Publisher:Henderson
Chapter4: Economic Evaluation In Health Care
Section: Chapter Questions
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Health economists in Alberta have determined that the following Rational Relation,
C(x)
x + 1300
100-x
represents the expected cost, C(x), in millions of dollars, to vaccinate x% of the Alberta population against
COVID-19, once a vaccine becomes available and has been purchased by the federal government and
distributed to each province.
3
a) Graph the relation on the mathematical domain using Desmos and appropriately label and title the graph.
Attach the graph with this submission.
b) Simplify the right hand side of this relation to one fraction, fully factored. Clearly show the algebra.
Transcribed Image Text:Health economists in Alberta have determined that the following Rational Relation, C(x) x + 1300 100-x represents the expected cost, C(x), in millions of dollars, to vaccinate x% of the Alberta population against COVID-19, once a vaccine becomes available and has been purchased by the federal government and distributed to each province. 3 a) Graph the relation on the mathematical domain using Desmos and appropriately label and title the graph. Attach the graph with this submission. b) Simplify the right hand side of this relation to one fraction, fully factored. Clearly show the algebra.
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c) State the mathematical domain and the practical domain of this relation.
d) Logically explain the shape of the graph in the practical domain.
What is the significance of the C-intercept?
What is the significance of the vertical asymptote?
e) Suppose the health ministry has allocated a 30 million dollar budget for this vaccination program. Using
your simplified fraction from part b), algebraically determine the percentage of the Alberta population that
would be inoculated. Confirm your answer by finding this point on your DESMOS graph.
f) if epidemiologists determine that 80% is required for herd immunity for this virus, what must the health
ministry set aside in their budget for the vaccination program? Use a calculator to find a solution here.
Transcribed Image Text:c) State the mathematical domain and the practical domain of this relation. d) Logically explain the shape of the graph in the practical domain. What is the significance of the C-intercept? What is the significance of the vertical asymptote? e) Suppose the health ministry has allocated a 30 million dollar budget for this vaccination program. Using your simplified fraction from part b), algebraically determine the percentage of the Alberta population that would be inoculated. Confirm your answer by finding this point on your DESMOS graph. f) if epidemiologists determine that 80% is required for herd immunity for this virus, what must the health ministry set aside in their budget for the vaccination program? Use a calculator to find a solution here.
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