Reynolds Metal Company manufactures aluminum cans in the shape of a cylinder with a capacity of 500 cubic centimeters - liter ). The top and bottom of the can are made of a special aluminum alloy that costs 0.05¢ per square centimeter. The sides of the can are made of material that costs 0.02¢ per square centimeter. (a) Express the cost of material for the can as a function of the radius r of the can. (b) Use a graphing utility to graph the function C = C(r). (c) What value of r will result in the least cost? (d) What is this least cost?
Reynolds Metal Company manufactures aluminum cans in the shape of a cylinder with a capacity of 500 cubic centimeters - liter ). The top and bottom of the can are made of a special aluminum alloy that costs 0.05¢ per square centimeter. The sides of the can are made of material that costs 0.02¢ per square centimeter. (a) Express the cost of material for the can as a function of the radius r of the can. (b) Use a graphing utility to graph the function C = C(r). (c) What value of r will result in the least cost? (d) What is this least cost?
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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
Transcribed Image Text:Reynolds Metal Company manufactures aluminum cans in the shape of a cylinder
with a capacity of 500 cubic centimeters
- liter ). The top and bottom of the can
are made of a special aluminum alloy that costs 0.05¢ per square centimeter. The
sides of the can are made of material that costs 0.02¢ per square centimeter.
(a) Express the cost of material for the can as a function of the radius r of the can.
(b) Use a graphing utility to graph the function C =
C(r).
(c) What value of r will result in the least cost?
(d) What is this least cost?
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