Link$-$state routing protocols $(8$ points each for a and b$,10$ for c$)$

This question explores how to set the $($configurable$)$ link weights in link$-$state routing protocols like OSPF

inside a single Autonomous System $($AS$)$ to achieve AS$-$wide goals.

a$)$ How should the network operators set the link weights if their goal is to minimize the number of hops

each packet traverses to reach its destination?

b$)$ How should the operators set the link weights to minimize the end$-$to$-$end delay the traffic

experiences? Assume the network is lightly loaded, so queuing delay is insignificant.