Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 1 - Section 1.3 - Operations on Real Numbers and Order of Operations - Exercise Set: 97b

Answer

As the number of bookshelves manufactured increases, the cost per bookshelf decrease. This is because the denominator increases proportionally faster than the numerator. Also, the production cost per unit is known to decrease as more units are manufactured.

Work Step by Step

From part (a) we have: $\begin{array}{ccccc} \\x &10 &100 &1000 \\\\\dfrac{100x+5000}{x} &600 &150 &105 \end{array}$ Based on the values in the table above, the cost per bookshelf, which is represented by $\dfrac{100x+5000}{x}$, decreases as the number of bookshelves manufactured (represented by $x$) increases. Based on the given expression, the value of $\dfrac{100x+5000}{x}$ decreases as $x$ increases because the denominator increases proportionally faster than the numerator. Industry-wise (situation-wise), the cost per bookshelf decreases because the cost of production gets smaller as more bookshelves are manufactured.
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.