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GLOBAL

EDITION

Quantitative Analysis

for Management

TWELFTH EDITION

To my wife and sons—BR

To Lila and Leslie—RMS

To Zoe and Gigi—MEH

To Valerie and Lauren—TSH

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The rights of Barry Render, Ralph M. Stair, Jr., Michael E. Hanna, and Trevor S. Hale to be identiied as the authors of this

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Authorized adaptation from the United States edition, entitled Quantitative Analysis for Management, 12th edition,

ISBN 978-0-13-350733-1, by Barry Render, Ralph M. Stair, Jr., Michael E. Hanna, and Trevor S. Hale, published by Pearson

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