Columbia Hospital is negotiating with LionCare HMO to provide inpatient services for 50,000 members on a capitation basis. You are given the following information on the patient populations annual utilization and cost characteristics: Service Category Inpatient Days per 1,000 Members Average Total Costs per Inpatient Day ($) General 270 1,700 Surgical 150 3,000 Pediatric 85 900 Maternity 70 1,900 Columbia wants to cover total costs, as well as allocate 5% of total premium revenue for reserves. Columbia will also implement new operational models that will reduce the average total costs per inpatient day for each service category by 10%. What per-member per-month (PMPM) rate should Columbia propose during its negotiations?