Chapter 2.7, Problem 31E

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8th Edition

James Stewart

ISBN: 9781285740621

Textbook Problem

If *p(x)* is the total value of the production when there are *x* workers in a plant, then the *average productivity* of the workforce at the plant is

(a) Find *A′(x)*. Why does the company want to hire more workers if *
a
′*(

(b) Show that *
a
′*(

To determine

**Part (a)**

**To find:**

(i)

(ii) Why does the company want to hire more workers if

Explanation

**1) Formula:**

Quotient rule:

**2) Given:**

**3) Calculation:**

Differentiate

By using quotient rule

To determine

**Part (b)**

**To show: **if

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