For the following scenarios, compute the maximum total deductible contribution to a traditional IRA for $2022.$

$\backslash$table$[[,$Traditional IRA$],[$Contribution$,],[$a$.$ Juan, age $41,$ earns a salary of $$28,000$ and is not an active participant in any other,$],[$qualified plan. His wife, Agnes, generates no earned income.,$],[$b$.$ Abby, age $29,$ reports earned income of $$25,000,$ and her husband, Sam, reports,$],[$earned income of $$2,600.$ They are not active participants in any other qualified plan.,$],[$c$.$ Leo's employer makes a contribution of $$3,500$ to Leo's simplified employee pension,$],[$plan$.$ Leo is single, he reports earned income of $$32,000,$ and his AGI is $$29,000.,]]$