The average school-nutrition director is not unlike the chief executive of a medium-size catering business, but with a school for a landlord and a menu regulated by the government. With lower subsidies, the lunch ladies needed cheaper calories, and they turned to the increasingly efficient processed-food industry to find them. School cafeterias also began to rely more on revenue from so-called competitive foods — snacks and lunches that are not regulated by federal guidelines and “compete” with the regular school lunch on cafeteria à la carte lines.