"California participates in the federal Medicaid program through the Medi-Cal program. (Welf. & Inst. Code, 14000 et seq.; Cal. Code Regs., tit. 22, 50000 et seq.)" (Mission Hospital, supra, 168 Cal.App.4th at p. 474.) The Department is the state agency charged with administering Medi-Cal in accordance with the state plan. (Cal. Code Regs., tit. 22, 50004, subd. (b)(1).) The Department reimburses California DP/NF's for services rendered to Medi-Cal patients based on prospectively determined per diem rates, consisting of the lesser of the facility's projected costs or a prospectively determined median rate per day. (Cal. Code Regs., tit. 22, 51511, subd. (a)(2).)