A hospital has contracted with an HMO to provide acute care inpatient services for $1,000 per day, subject to a 10% withhold. The proposed budget for inpatient services is based upon expected utilization of 600 days per 1,000 members at $1,000 per day, or $600,000 per 1,000 members. The hospital risk pool will be split equally between the hospital and a primary care physician group. If only 450 days per 1,000 members were utilized in the first year, how much would the hospital be paid per 1,000 members? Please provide the formula and show your work!