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.

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