I detest how these are worded sometimes. Technically speaking, if you increase the cost TO 61, then the cost of the link = 61 (in which case, it doesn't use the R1-R2 link). However, if you increase the cost BY 61, then the cost of the link = 81 (20+61). This is just splitting hairs over semantics, but the question is worded incorrectly.
Basically due to the lowest cost the path it is taking before the change is R6-R5-R2-R3-R1
Increasing the cost by 61 makes the total cost 81>80 so it will prefer R1
On each suggestion, try replace the cost with the suggested one, then sum from R6 all the way to R1. You'll find that answer C presents the lowest cost
possible to choose the path R5>R2>R1
upvoted 3 times
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