function $[$A$,$ b$]=$Write a function:

$[A,b]=$ solveProcessGiven$(SR)$

that returns a $3030$ matrix $A(30$ variables including flow rates and extent of reaction variables, $30$ equations including $8$AUx,$21MBs,1SF),$ and the RHS vector $b$ for

Homework $4$ Problem $1$ given SR$,$ the split ratio of the recycle flow rate to the product output flow rate, as an input parameter. constructMatrix$($sr$)$

$\%[$A$,$ b$]=$ constructMatrix$($sr$)$

$\%$ A is a $30$x$30$ matrix for the system of linear equations for the problem

$\%$ b is the corresponding RHS vector.

$\%\%$ Construct A$.$

$\%$

$\%$ Follow the order of variables $($columns$)$ and the order of equations $($rows$)$ below in your matrix.

$\%$ This is a template only. If you have any alternative way to construct the matrix like calling row and column indices, welcome to use it$.$ But follow the orders of vars and eqns.

$\%$

$\%**$Remember$,$ somewhere here you need to use the input variable $\text{'}$sr$\text{'}$ for the split ratio $($ratio of the recycle flow rate to the product output flow rate$)$

$\%$

$\%123456789101112131415161718192021222324252627282930($variable order$)$

$\%$ Str $1$ Str $2$ Str $3$ Str $4$ Str $5$ Str $6$ Str$7$ Str$8$ Str $9$ Str $10$ Str $11$ Reactor $($corresponding stream$/$unit$)$

$\%$ M$1$ P$1$ B$1$ M$2$ P$2$ B$2$ M$3$ P$3$ B$3$ C$3$ D$3$ B$4$ C$4$ D$4$ C$5$ D$5$ C$6$ D$7$ B$8$ M$9$ P$9$ B$9$ M$10$ P$10$ B$10$ M$11$ P$11$ B$11$ E$1$ E$2($variable name$)$

A $=[100-100000000000000000010000000$; $...\%$Eq $1$: M Mixer

$\%$Eq $2$: P Mixer

$\%$Eq $3$: B Mixer

$\%$Eq $4$: M Reactor

$\%$Eq $5$: P Reactor

$\%$Eq $6$: B Reactor

$\%$Eq $7$: C Reactor

$\%$Eq $8$: D Reactor

$\%$Eq $9$: M Separator

$\%$Eq $10$: P Separator

$\%$Eq $11$: B Separator

$\%$Eq $12$: C Separator

$\%$Eq $13$: D Separator

$\%$Eq $14$: M Splitter

$\%$Eq $15$: P Splitter

$\%$Eq $16$: B Splitter

$\%$Eq $17$: B Dist I

$\%$Eq $18$: C Dist I

$\%$Eq $19$: D Dist I

$\%$Eq $20$: C Dist II

$\%$Eq $21$: D Dist II

$\%$Eq $22$: AUX $1$: P$/$B ratio in feed

$\%$Eq $23$: AUX $2$: P$/$M ratio in feed

$\%$Eq $24$: AUX $3$: Benzene split at separator

$\%$Eq $25$: AUX $4$: Single pass conversion in reactor

$\%$Eq $26$: AUX $5$: Diisopropyl produced w$.$r$.$t$.$ cumene

$\%$Eq $27$: AUX $6$: Split ratio to recycle

$\%$Eq $28$: AUX $7$: Split ratio to recycle

$\%$Eq $29$: AUX $8$: Split ratio to recycle

$]$; $\%$Eq $30$: Specified flow rate for C$6$

$\%123456789101112131415161718192021222324252627282930($variable order$)$

$\%$ Str $1$ Str $2$ Str $3$ Str $4$ Str $5$ Str $6$ Str$7$ Str$8$ Str $9$ Str $10$ Str $11$ Reactor $($corresponding stream$/$unit$)$

$\%$ M$1$ P$1$ B$1$ M$2$ P$2$ B$2$ M$3$ P$3$ B$3$ C$3$ D$3$ B$4$ C$4$ D$4$ C$5$ D$5$ C$6$ D$7$ B$8$ M$9$ P$9$ B$9$ M$10$ P$10$ B$10$ M$11$ P$11$ B$11$ E$1$ E$2($variable name$)$

$\%$ construct the corresponding RHS vector

b $=$ ;

end