The Department of Public Health, within available appropriations and in consultation with the Departments of Social Services and Education, shall seek to reduce the incidence of low birth weight among infants and reduce the cost to the state from unnecessary hospitalizations of such infants by (1) maximizing coenrollment in the federal Special Supplemental Food Program for Women, Infants and Children and Medicaid for all eligible women; (2) encouraging tobacco cessation programs targeted to pregnant women; and (3) promoting the use of the centering pregnancy model of prenatal care. The department may recover the costs of implementing the provisions of this section through funds available from the Tobacco and Health Trust Fund established under section 4-28f and the federal Temporary Assistance for Needy Families Emergency Fund.