Problem $1$: Morphotactic FSTs

Consider the following pairs of noun and possessive

nouns lemmas with their plural forms: horse$/$horses$,$ wolf$/$ wolves, baby$/$ babies, horse's leg$/$horses$\text{'}$ leg, wolf's tail$/$ wolves' tail, baby's food$/$ babies' food. Design a morphotactic FST that takes a lexical description like "horse $+$Plural" and converts into an intermediate form suitable for orthographic processing. Show the state$-$by$-$state transition along with the correct input and output when the FST is presented with the input "horse $+$Plural", $"$ wolf $+$Plural", $"$ baby $+$Plural", "horse $+$ possessive's $+$ N$"$ and so on$.$