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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
work have been asserted by them in accordance with the Copyright, Designs and Patents Act 1988.
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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