Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 7 - Section 7.5 - Systems of Inequalities - Exercise Set - Page 864: 84

Answer

$\begin{cases} x+y\leq15000 \\ x\geq2000 \\ y\geq 3x\\ x\geq0 \\y\geq0 \end{cases}$ See graph and explanations.
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Work Step by Step

Step 1. Assume the amount in dollars in the high risk account is $x$ and the amount in the low risk account is $y$ Step 2. Based on the given conditions, we can write the inequalities as $\begin{cases} x+y\leq15000 \\ x\geq2000 \\ y\geq 3x\\ x\geq0 \\y\geq0 \end{cases}$ Step 3. Graph the above inequalities and we can find the solution region as shown in the triangular region in the figure where the values of each investment can be identified.
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