An island is 3 miles from the nearest point on a straight shoreline, that point is 14 miles 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 that it costs $3200/mile to lay cable underwater and $1600/mile to lay underground cable. A. At what point should the underwater cable meet the shore to minimize the cost of the project? Round to two decimal places. B. What is the minimum installation cost?
Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
An island is 3 miles from the nearest point on a straight shoreline, that point is 14 miles 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 that it costs $3200/mile to lay cable underwater and $1600/mile to lay underground cable.
A. At what point should the underwater cable meet the shore to minimize the cost of the project? Round to two decimal places.
B. What is the minimum installation cost?
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 4 images
