In which 1976 case did the supreme court determine that prison officials have a duty to provide medical treatment to inmates since inmates are dependent on them to provide for their medical needs?

The answer is: Estelle V. Gamble
Before the case, prison inmates were treated inhumanely. They often given rotten foods for their meals which cause physical harm to many of them and the government had no responsibility to took care of them when they're sick because they believed it was a  'waste of resource'

Don jorge (1) se levantaba a las seis de la mañana. vivía cerca del ayuntamiento, pero le gustaba llegar temprano. (2) salir de su casa, tomaba un desayuno bien completo: café con leche, tostadas, queso y fruta. ya en el ayuntamiento, (3) se reunía con su secretario para ver la agenda del día. (4) ver la agenda, se tomaba un café. él siempre se tomaba un café (5) leía la prensa del día. (6) , don jorge recibía a los ciudadanos que querían hablar con él.