The horizontal cross section of a well containing mineral water is a circle of radius 4ft. The cost of pumping the water to an outlet at the top of the well is 2 centavos per ft-lb of work done. If the mineral water weighs 62.5 lb/ft3 and is sold for 20opesos per cu. ft., find the depth to which the water is to be pumped out to realize a maximum profit. Select one: a. 20ft b. 13ft c. 16ft Od. 11ft The correct answer is: 16ft

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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The horizontal cross section of a well containing mineral water is a circle of radius 4ft. The
cost of pumping the water to an outlet at the top of the well is 2 centavos per ft-lb of work
done. If the mineral water weighs 62.5 lb/ft3 and is sold for 20opesos per cu. ft., find the
depth to which the water is to be pumped out to realize a maximum profit.
Select one:
a.
20ft
b. 13ft
с.
16ft
Od. 11ft
The correct answer is: 16ft
Transcribed Image Text:The horizontal cross section of a well containing mineral water is a circle of radius 4ft. The cost of pumping the water to an outlet at the top of the well is 2 centavos per ft-lb of work done. If the mineral water weighs 62.5 lb/ft3 and is sold for 20opesos per cu. ft., find the depth to which the water is to be pumped out to realize a maximum profit. Select one: a. 20ft b. 13ft с. 16ft Od. 11ft The correct answer is: 16ft
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