An island is 3.5 mi from the nearest point on a straight shoreline: that point is 8 mi from a power station. A utility company plans to lay electrical cable underwater from the island to the shore and then underground along the shore to the power station. Assume it costs $2400/mi to lay underwater cable and $1200/mi to lay underground cable. Island Solve this problem by choosing to either solve part a or part b. a. At what point should the underwater cable meet the Cable shore in order to minimize the cost of the project? 3.5 mi Power station Shore 8 mi - b. Solve the problem in #2 again, but this time minimize the cost with respect to the smaller angle e between the underwater cable and the shore.

An island is 3.5 mi from the nearest point on a straight shoreline: that point is 8 mi from a power station. A utility company plans to lay electrical cable underwater from the island to the shore and then underground along the shore to the power station. Assume it costs $2400/mi to lay underwater cable and $1200/mi to lay underground cable. Island Solve this problem by choosing to either solve part a or part b. a. At what point should the underwater cable meet the Cable shore in order to minimize the cost of the project? 3.5 mi Power station Shore 8 mi - b. Solve the problem in #2 again, but this time minimize the cost with respect to the smaller angle e between the underwater cable and the shore.

Algebra for College Students

10th Edition

ISBN:9781285195780

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter14: Sequences And Mathematical Induction

Section14.3: Another Look At Problem Solving

Problem 29PS

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