A gas pipeline has to be constructed between points A and B, as shown in the figure. Roa...

A gas pipeline has to be constructed between points A and B, as shown in the figure. Roads connect pointsA and C and points C and B and the line can beburied alongside the road at $200,000 per mile. Thepipe can also be buried directly between A and B at a cost of $150,000 per mile, but the construction must avoid the swamp shown in the figure. The decision has been made to bury the pipe along the road for 3 miles and then run it directly to point B. Estimate the savings using this alternate route. Estimate the cost per mile to bury the line off-road that would make the route along the entire existing road more economical.