If the government wants to ensure that the traffic at S gets evenly distributed along streets from S to A, from S to B, and from S to D, then a feasible set of toll charged (in rupees) at junctions A, B, C, and D respectively to achieve this goal is:
Explanation:
If we make the cost of travelling on all the routes equal, traffic along S-B will be twice that along S-A.
But we want traffic along S-A, S-B and S-D to be the same.
As routes lead to C from both B and D, we can increase the toll at C so that the cost of travelling along S-B-C-T and S-D-C-T is more than that along the other three routes.
Now, 14 + a = 9 + a + b = 13 + d
∴ a = 0, b = 5 and d =1
Also, 7 + b + c > 14 and 10 + d + c > 14
∴ c > 3
Hence, option (a).
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