Consider the following linear program:Max$5$A $+2$Bs$.$t$\mathrm{.}1$A $2$B$4152$A $+3$B$6106$A $1$B$125$A$,$ B $0$Write the linear program in standard form.Max$5$A$+2$B$+$S$1+$S$2+$S$3$s$.$t$\mathrm{.}1$A$2$B$+=4152$A$+3$B$+=6106$A$1$B$+=125$A$,$ B$,$ S$1,$ S$2,$ S$3?=0$