The Medicaid program can improve the access of Medicaid patients to nursing home care by raising the rate of return on Medicaid patients care. However, increases in the return also induce nursing homes to lower quality. To quantify this tradeoff, I derive expressions for three elasticities: (1) the elasticity of access with respect to Medicaid expenditures, (2) the elasticity of access with respect to quality, and (3) the elasticity of Medicaid expenditures with respect to the rate of return. Using New York State data, I find that a 10% increase in Medicaid expenditures induces a 4.1% increase in Medicaid patient care and a reduction in nursing home expenditures on services provided patients by about 3.4%.