Suppose there is a flow which goes through two routers whose service enverlopes are given by Sr$1($t$)$ and Sr$2($t$)$ as given in the diagram below. Here the two routers adopt Generalized Processor Sharing as their scheduling discipline.

Assume input traffic is given by A$($t$)=$ t $+10,$ and we ignore propagation delay and processing delay at routers, i$.$e$.,$ we only consider scheduling delay.

$$ Please write the formula of the universal service curve for the flow and

$$ answer the maximum end$-$to$-$end delay of the flow.