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

Managerial Economics: A Problem Solving Approach
5th Edition
ISBN:9781337106665
Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Chapter20: The Problem Of Adverse Selection Moral Hazard
Section: Chapter Questions
Problem 3MC
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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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