Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 10 - Section 10.9 - Systems of Inequalities - 10.9 Exercises - Page 765: 73

Answer

See graph. \begin{cases} 2x+5y\leq640\hspace2cm(arabica-beans) \\ 2x+y\leq240\hspace2cm(robusta-beans)\\x\geq0, y\geq0\end{cases}

Work Step by Step

Step 1. Assume the $x$ number of number of Standard and $y$ number of Deluxe packages, Step 2. Set up the inequalities based on the given conditions: \begin{cases} 4x+10y\leq80\times16oz\hspace2cm(arabica-beans) \\ 12x+6y\leq90\times16oz\hspace2cm(robusta-beans)\\x\geq0, y\geq0\end{cases} or \begin{cases} 2x+5y\leq640\hspace2cm(arabica-beans) \\ 2x+y\leq240\hspace2cm(robusta-beans)\\x\geq0, y\geq0\end{cases} Step 3. We can graph the solution set as shown (solution region).
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.