power line is to be run to an offshore facility as shown in the figure above. The offshore facility is D= 1 miles at sea and L= 8 miles along the shoreline from the power plant. It costs $ 50,000 per mile to lay a power line underground and $ 80,000 per mile to run the line underwater. How much of the power line should be run underground, and how much underwater to minimize the overall costs? Length underground (in miles): Length underwater (in miles): Minimal cost (in dollars):
power line is to be run to an offshore facility as shown in the figure above. The offshore facility is D= 1 miles at sea and L= 8 miles along the shoreline from the power plant. It costs $ 50,000 per mile to lay a power line underground and $ 80,000 per mile to run the line underwater. How much of the power line should be run underground, and how much underwater to minimize the overall costs? Length underground (in miles): Length underwater (in miles): Minimal cost (in dollars):
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.CM: Cumulative Review Problem Set
Problem 114CM
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A power line is to be run to an offshore facility as shown in the figure above. The offshore facility is D= 1 miles at sea and L= 8 miles along the shoreline from the power plant. It costs $ 50,000 per mile to lay a power line underground and $ 80,000 per mile to run the line underwater.
How much of the power line should be run underground, and how much underwater to minimize the overall costs?
Length underground (in miles):
Length underwater (in miles):
Minimal cost (in dollars):
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