2. A cable is to be laid between towns A and B, which are situated on opposite sides of a river as shown in the diagram below: 8 km 2 km A The cable is going to be laid across the river to a point C and then along the shore to B. A possible choice of C is shown in the diagram (the cable would be laid along the path shown in red). Suppose it costs $300 per mile to lay the cable on land, $500 per mile to lay the cable across the river and the cable itself costs $400 per mile. Find the least expensive route.

Calculus: Early Transcendentals
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Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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04/09/2021 Worksheet
ΜTΗ 1410
2. A cable is to be laid between towns A and B, which are situated on opposite sides of
a river as shown in the diagram below:
8 km
B
2 km
A
The cable is going to be laid across the river to a point C and then along the shore to
B. A possible choice of C is shown in the diagram (the cable would be laid along the
path shown in red). Suppose it costs $300 per mile to lay the cable on land, $500 per
mile to lay the cable across the river and the cable itself costs $400 per mile. Find the
least expensive route.
Transcribed Image Text:04/09/2021 Worksheet ΜTΗ 1410 2. A cable is to be laid between towns A and B, which are situated on opposite sides of a river as shown in the diagram below: 8 km B 2 km A The cable is going to be laid across the river to a point C and then along the shore to B. A possible choice of C is shown in the diagram (the cable would be laid along the path shown in red). Suppose it costs $300 per mile to lay the cable on land, $500 per mile to lay the cable across the river and the cable itself costs $400 per mile. Find the least expensive route.
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