The worst-case scenario for a baseball player is a lifetime ban. We initially assume there are only

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The worst-case scenario for a baseball player is a lifetime ban. We initially assume there are only two options: test everyone or test no one. We assume monetary assets or costs in our analysis. We define the following:

B = benefit for correctly identifying a steroid user and banning this user from baseball
C1 = cost of the test, including materials and labor.
C2 = cost of falsely accusing a nonuser and its consequences.
C3 = cost of not correctly identifying a steroid user (either by testing or by a false negative).
C4 = cost of violating privacy.

These costs and benefits are hard to measure, except C1. We will assume a proportionality relationship between C1 and each other cost and benefit to help the commissioner in his decision process.

Cost/Benefit Assumptions:

C = 25 C; C3 = 20 C; C4 = 2C; B = 50C Build a tree diagram to assist with the decision for testing.

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Related Book For  book-img-for-question

A First Course In Mathematical Modeling

ISBN: 9781285050904

5th Edition

Authors: Frank R. Giordano, William P. Fox, Steven B. Horton

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