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A utilities company wants to deliver gas from a source S to plant P located across a straight river 5 miles wide, then down stream 8 miles. It costs $100,000 per mile to lay the pipe in the river and $75,000 per mile to lay it on land. a) Express the cost of laying the pipe in terms of x. b) How can the pipe be laid most economically? (minimum) d What is the cost?

A utilities company wants to deliver gas from a source S to plant P located across a straight river 5 miles wide, then down stream 8 miles. It costs $100,000 per mile to lay the pipe in the river and $75,000 per mile to lay it on land. a) Express the cost of laying the pipe in terms of x. b) How can the pipe be laid most economically? (minimum) d What is the cost?

Calculus: Early Transcendentals
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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A utilities company wants to deliver gas from a source S to plant P located across a straight river 5 miles wide, then down stream 8 miles. It costs $100,000 per mile to lay the pipe in the river and $75,000 per mile to lay it on land. a) Express the cost of laying the pipe in terms of x. b) How can the pipe be laid most economically? (minimum) c) What is the cost? Compicie Practice me Problems 2-55750DIDIO POR A man in a boat is 24 miles from a straight shore and wishes to reach a point 20 miles down shore. He can travel 5 mph in the boat and 13 mph on land. At what point should he land the boat in order to minimize the time required to get to his desired destination?
Transcribed Image Text:A utilities company wants to deliver gas from a source S to plant P located across a straight river 5 miles wide, then down stream 8 miles. It costs $100,000 per mile to lay the pipe in the river and $75,000 per mile to lay it on land. a) Express the cost of laying the pipe in terms of x. b) How can the pipe be laid most economically? (minimum) c) What is the cost? Compicie Practice me Problems 2-55750DIDIO POR A man in a boat is 24 miles from a straight shore and wishes to reach a point 20 miles down shore. He can travel 5 mph in the boat and 13 mph on land. At what point should he land the boat in order to minimize the time required to get to his desired destination?
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