.An internet provider needs to run an underground cable from station A, on one side of a river, to station C on the other side of the river. The river is 300 meters across (the shortest way) and station C is 400 meters along the river to a point directly across from station A (see diagram). Laying the cable costs $100 per meter under dry ground, and $200 per meter under the river. The company will lay the cable under the ground along the river until it gets to point B (which is a distance x from A), and then lay the cable in a straight line under the river from B to C. How far apart should point B be from station A in order to minimize the cost of laying the cable? Hint: Label a point D directly across the river from B, and write the objective function in terms of the distance from D to C.
.An internet provider needs to run an underground cable from station A, on one side of a river, to station C on the other side of the river. The river is 300 meters across (the shortest way) and station C is 400 meters along the river to a point directly across from station A (see diagram). Laying the cable costs $100 per meter under dry ground, and $200 per meter under the river. The company will lay the cable under the ground along the river until it gets to point B (which is a distance x from A), and then lay the cable in a straight line under the river from B to C. How far apart should point B be from station A in order to minimize the cost of laying the cable? Hint: Label a point D directly across the river from B, and write the objective function in terms of the distance from D to C.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 26EQ
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