The government wants to devise a toll policy such that the total cost to the commuters per trip is minimized. The policy should also ensure that not more than 70 per cent of the total traffic passes through junction B. The cost incurred by the commuter travelling from point S to point T under this policy will be:
Explanation:
If toll charges at all junctions are made 0, 100% traffic will pass through S-B-C-T. This is not possible.
If toll charges at A and B are made 0, then 100% traffic will pass through S-B-A-T. This is also not possible.
If toll charges at C and D are made 0, that at B are made Rs. 3, then the traffic will get equally divided between S-D-C-T and S-B-C-T.
Thus, the cost incurred will be Rs. 10.
Hence, option (c).
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