A route, A B c.B route, A M K c.
Length,39.2943.58
Rise A to c,540.001087.00
Rise c to A,395.00936.00
Whole rise and fall,935.002023.00
Degrees of curvature,2371°.003253°.00
Estimated cost,$746,900.00$628,600.00

Assuming the number by which to equate for grades, as 96, and the equating number of degrees of curvature as 1140°; equating for grades and curvature in both directions, we have,

Route A. A to c.Mean, 46.25.
39.29 +540
96 + 2371
1140 = 39.29 +
5.63 + 2.08 = 47.00
Route A. c to A.
39.29 +395
96 + 2371
1140 = 39.29 +
4.12 + 2.08 = 45.49
Route B. A to c.Mean, 56.96.
43.58 +1087
96 + 3253
1140 = 43.58 +
11.32 + 2.85 = 57.75
Route B. c to A.
43.58 +936
96 + 3253
1140 = 43.58 +
9.75 + 2.85 = 56.18

Assuming the cost of working and of maintaining as $4,000 per mile, we have

The cost of building A to B as $746,900 to $628,600

The cost of operating A to B as (46.25 × 4000) × 100
6 to (56.96 × 4000) × 100
6,

or as$3,083,334to$3,797,334
and the sum as$3,830,234 $4,425,934

giving the preference of $595,700 to the route A B c, notwithstanding that the estimate thereon exceeds that on B by $118,300. The route A B c was adopted.

Again, it was doubtful whether to adopt the route E F, in going from D to G, or the line I H. The following are the elements of the two lines:—

I H.E F.
Measured length,61.1458.53
Rise D to G,1187454
Rise G to D,1049316
Degrees curve,7609°4588°
Estimated cost,$1,094,950$1,496,430