A new study from the Bipartisan Policy Center says that Medicare would save $1.57 for every dollar it spends delivering healthy food to elderly beneficiaries who have recently been discharged from the hospital. The savings would come from a reduction in the rate of readmissions to the hospital for patients suffering from a wide range of common ailments, including rheumatoid arthritis, congestive heart failure, diabetes and emphysema.

“If you were going to offer meals to every Medicare beneficiary, it would be cost-prohibitive,” said BPC’s Katherine Hayes. “By targeting it to a very, very sick group of people is how we were able to show there could be savings.”