Consider the following screening test for cancer applied to 100,000 people of whom 100 have cancer. Each test costs $6.50, picks up 75% of cancer cases., and additionally, 12% of the time, falsely diagnoses cancer. Detection of cancer (rightly or wrongly) leads to a further exact diagnostic test that costs $10O. Correct early detection of cancer by the test is valued at $10,000 What is the marginal benefit of doing the test? What are the marginal costs of doing the test Is the first test worthwhile? Why or why not

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter16: Labor Markets
Section: Chapter Questions
Problem 16.9P
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Consider the following screening test for
cancer applied to 100,000 people of whom
100 have cancer. Each test costs $6.50,
picks up 75% of cancer cases., and
additionally, 12% of the time, falsely
diagnoses cancer. Detection of cancer
(rightly or wrongly) leads to a further exact
diagnostic test that costs $100. Correct
early detection of cancer by the test is
valued at $10,000
a. What is the marginal benefit of doing the
test?
6. What are the marginal costs of doing the test?
c. Is the first test worthwhile? Why or why not
Transcribed Image Text:Consider the following screening test for cancer applied to 100,000 people of whom 100 have cancer. Each test costs $6.50, picks up 75% of cancer cases., and additionally, 12% of the time, falsely diagnoses cancer. Detection of cancer (rightly or wrongly) leads to a further exact diagnostic test that costs $100. Correct early detection of cancer by the test is valued at $10,000 a. What is the marginal benefit of doing the test? 6. What are the marginal costs of doing the test? c. Is the first test worthwhile? Why or why not
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