a. Explanation Given information: The material for the curved sides the cans costs 0.25 cent per square inch, the material for the top and bottom costs 0.5 cent per square inch, and the reinforcing weld around the seams costs 0.1 cent per linear inch. The seams run around the edges of the top and bottom and also in a straight line from the top to the bottom of the curved side. Calculation: Consider the radius r and height 5 inches, the cost function will be: C ( r ) = 0.25 ( 2 π r h ) + 0.5 ( 2 π r 2 ) + 0.1 ( 2 ( 2 π r ) + h ) Put h = 5 in the cost function the radius can be found as below: 30 = 0.25 ( 2 π r h ) + 0 b. To determine To find: this requirement as an absolute value inequality. c. To determine To find: the range of raddi would satisfy your manager. Write an absolute value inequality whose solution set lies inside this range of raddi.

14th Edition

ISBN: 9781464151088

Author: Associate Professor Laura Taalman, Peter Kohn

Publisher: W.H. Freeman & Company

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Question

Chapter 1.3, Problem 45A

To determine

To find: The radius of a can that is 5 inches tall and costs 30 cents to produce.

To determine

To find: this requirement as an absolute value inequality.

To determine

To find: the range of raddi would satisfy your manager. Write an absolute value inequality whose solution set lies inside this range of raddi.

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Chapter 1.3, Problem 44S

Chapter 1.3, Problem 46A

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Chapter 1 Solutions

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The radius of a can that is 5 inches tall and costs 30 cents to produce.

Solution Summary: The author calculates the radius of a can that is 5 inches tall and costs 30 cents to produce. The inequality is c.

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To find: The radius of a can that is 5 inches tall and costs 30 cents to produce.

To find: this requirement as an absolute value inequality.

To find: the range of raddi would satisfy your manager. Write an absolute value inequality whose solution set lies inside this range of raddi.

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Chapter 1 Solutions