CARACAS, Venezuela — As Venezuela tumbled deeper into economic crisis in 2017 and its people searched for a way out, one name kept coming up: Lorenzo Mendoza.

The family name is universally known in Venezuela. Empresas Polar, the food conglomerate started by Mr. Mendoza’s grandfather, had grown into the country’s largest private company. Its corn meal, used to make the national dish, was in every pantry, and its beer a welcome part of social gatherings.