Principles Of Economics 2e
2nd Edition
ISBN: 9781680920864
Author: Timothy Taylor, Steven A. Greenlaw, David Shapiro
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Textbook Question
Chapter 6, Problem 6RQ
Would you expect total utility to rise or fall with additional consumption of a good? Why?
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2. Question
The 'Democratic Family' consists of three members {mother m, father f, daughter
d}, that have different preferences with respect to how much money X € [0,8]
they think should be invested in the new family car. These preferences can be
represented by the following utility functions:
-
Mother m: um(X) = 2X - X²
Father f: uf(X) = 10X - X²
- Daughter d: ud(X) = 4X - X²
Calculate for each family member (f, m, d) the preferred amount of money
to invest in the new car denoted by X; for i = {m, f,d}. Assume that
(Xf, Xm, Xd) are the three alternatives on which the family must decide. Show
that each family member has rational preferences over this domain.
Preferences on the family level are determined by pairwise majority voting (all
family members vote on two alternatives). Derive the family preference and
check whether it is rational.
Assume that the final family decision is made by conducting sequential pair-
wise majority voting, where the loosing alternative is eliminated. Does…
3. Question
You invented a new lateral-flow test for asymptomatic Covid-19 detection,
where saliva is entered into a test-tube and then the result is shown directly
on the device. However, to save on costly chemicals you designed the tests
such that it always reports a negative test result. Assume that the incidence
rate is 5 per 1000 and that your test is used for detection of asymptomatic
cases (without symptoms).
(a) Calculate the probability that 100 randomly determined volunteers receive
a correct test result by using the AND-rule and the OR-rule. Can your
test be qualified as a diagnostic test?
(b) The health authorities are investigating the performance of your test.
Government guidelines require a specificity (conditional probability to re-
ceive a negative test result given that the test-taker is not infected with
COVID19) of at least 97% and a sensitivity (conditional probability to
receive a positive test result given that the test-taker is infected with
COVID-19) of at…
Chapter 6 Solutions
Principles Of Economics 2e
Ch. 6 - Jeremy is deeply in love with Jasmine. Jasmine...Ch. 6 - Take Jeremys total utility information in Exercise...Ch. 6 - Explain all the reasons why a decrease in a...Ch. 6 - As a college student you work at a part-time job,...Ch. 6 - Who determines how much utility an individual will...Ch. 6 - Would you expect total utility to rise or fall...Ch. 6 - Would you expect marginal utility to rise or fall...Ch. 6 - Is it possible for total utility to increase while...Ch. 6 - If people do not have a complete mental picture of...Ch. 6 - What is the rule relating the ratio of marginal...
Ch. 6 - As a general rule, is it safe to assume that a...Ch. 6 - Why does a change in income cause a parallel shift...Ch. 6 - Think back to a purchase that you made recently....Ch. 6 - The rules of politics are not always the same as...Ch. 6 - Income Effects depend on the income elasticity of...Ch. 6 - Praxilla, who lived in ancient Greece, derives...Ch. 6 - If a 10 decrease in the price of one product that...
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