Applied Mathematics 03-version control.

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Location A is planned to connect to the site of the CM current power lines, substations, since K, from any support D (see. Fig. 1).
Constructed trail passes through areas of different soil structures. The boundaries between the sections parallel to each other and form an angle α with the existing transmission line. The construction of the new road is expected to spend no more than P th. Rubles. Is it enough to the planned amount for the construction of the optimal route?
Regulatory costs per 1 km of new tracks in th. Rub.

Table 1. Baseline
Place the track construction (K) Operation (C)
In the forest 36 0.6
On rocky ground 38 0.5
As a bog 42 0.7
In mountainous relief 40 0.65
In the steppe 28 0.45

Obviously, being built trail should pass inside the angle between the line AA and ordinate from point A to the boundaries of soil areas (see. Fig. 2).
The value of loans for the construction will take equal to P = 1 million rubles.

Table 2 - Baseline
Parameters Value
The angle α in degrees. 30
Distance between supports 0.1
Length 3 KM
View Zone and Forest
Type b Swamp area
The width of the zone and 3
The width of the zone 4 b


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