A natural gas line runs east-west. A town wants to connect two new housing developments to the line by running lines from a single point on the existing line to the two developments. One development, D1, is 3km due south of the existing line; the other development, D2, is 4km due south of the existing line and 5km east of the first development. Find the place on the existing line to make the connection to minimize the total length of the new line.
A natural gas line runs east-west. A town wants to connect two new housing developments to the line by running lines from a single point on the existing line to the two developments. One development, D1, is 3km due south of the existing line; the other development, D2, is 4km due south of the existing line and 5km east of the first development. Find the place on the existing line to make the connection to minimize the total length of the new line.
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.8: Linear Programming
Problem 5SC: If during the following year it is predicted that each comedy skit will generate 30 thousand and...
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A natural gas line runs east-west. A town wants to connect two new housing developments to the line by running lines from a single point on the existing line to the two developments. One development, D1, is 3km due south of the existing line; the other development, D2, is 4km due south of the existing line and 5km east of the first development. Find the place on the existing line to make the connection to minimize the total length of the new line.
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