17. INSTALLATION COST A cable is to be run from a power plant on one side of a river 1,200 meters wide to a factory on the other side, 1,500 meters downstream. The cost of running the cable under the water is $25 per meter, while the cost over land is $20 per meter. What is the most economical route over which to run the cable?

17. INSTALLATION COST A cable is to be run from a power plant on one side of a river 1,200 meters wide to a factory on the other side, 1,500 meters downstream. The cost of running the cable under the water is $25 per meter, while the cost over land is $20 per meter. What is the most economical route over which to run the cable?

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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Your Turn: The Gas Guzzler Tax is imposed on manufacturers on the sale of new-model cars (not minivans, sport utility vehicles, or pickup trucks) whose fuel economy fails to meet certain statutory regulations, to discourage the production of fuel-inefficient vehicles. The tax is collected by the IRS and paid by the manufacturer. The table (top right) shows the amount of tax that the manufacturer must pay for a vehicle's miles per gallon fuel efficiency. 12.5 13.5 MPG (M) 14.5 15.5 16.5 17.5 18.5 19.5 20.5 21.5 22.5 Tax per Car (T) $6400 $5400 $4500 $3700 $3300 $2600 $2100 $1700 $1300 $1000 $0 1. Plot the data, verify that they are roughly linear, and add a line of best fit. Line of Best Fit: 2. Identify and interpret the meaning of the slope and the vertical intercept. 3. Predict the tax for a car which gets 20 MPG. Is this interpolation or extrapolation? 4. Predict the tax for a car which gets 10 MPG. Is this interpolation or extrapolation? 5. Predict the tax for a car which gets 30…
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Placement Test Practice Problem #15
Among the assumptions for the formulation of an LP problem, there us linearity. What does it mean in practice, and why is it important?
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