   Chapter 4.7, Problem 64E ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

#### Solutions

Chapter
Section ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

# A company operates 16 oil wells in a designated area. Each pump, on average, extracts 240 barrels of oil daily. The company can add more wells but every added well reduces the average daily ouput of each of the wells by 8 barrels. How many wells should the company add in order to maximize daily production?

To determine

To find: The number of wells, the company should add in order to maximize daily production.

Explanation

Consider, w wells are added to the company.

Let the function of the production be P(w) .

Hence, after adding the w wells, the function of the production is,

P(w)=(16+w)(2408w)=3840+112w8w2

Differentiate P(w) with respect to w,

P(w)=11216

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