Finite Math and Applied Calculus (6th Edition)

Published by Brooks Cole
ISBN 10: 1133607705
ISBN 13: 978-1-13360-770-0

Chapter 6 - Review - Review Exercises - Page 442: 35

Answer

FarmerBooks.com 5,400

Work Step by Step

Set up a Venn diagram abbreviating set names to H, J F and enter values into regions, in this order: 1000 into the intersection of all three$, H\cap J\cap F$. 1000 in the region $H\cap J$ but not $H\cap J\cap F, $to make a total of 2000, 500 in the region $H\cap F$ but not $H\cap J\cap F, $to make a total of 1500 100 in the region $J\cap F$ but not $H\cap J\cap F, $to make a total of 1$1$00 1000 in the region exclusive to H, to make a total of 3,500 600 in the region exclusive to J, to make a total of 3,600 1800 in the region exclusive to F, to make a total of 3,400 (see attached image) Reading the the diagram: $n(H\cup J)=3,500+600+100=4,200,$ $n(H\cup F)=3,500+1800+100= 5,400$ Merger with FarmerBooks.com gives a combined customer base of 5,400
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