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Gotham City Hospital serves cases from four diagnostic-related groups (DRGs). The profitcontribution, diagnostic service use (in hours), bed-day use (in days), nursing care use (inhours), and drug use (in dollars) are given in the table below. The hospital now has availableeach week 570 hours of diagnostic services, 1,000 bed days, 50,000 nursing hours, and$50,000 worth of drugs. To meet the community’s minimum health care demands at least 10DRG1, 15 DRG2, 40 DRG3, and 160 DRG4 cases must be handled each week.DRGProfit ($)DiagnosticServices (hours)Bed-Day(days)NursingUse (hours)Drugs ($)12,000753080021,50042105003500215150430010150The hospital’s optimal mix of DRGs was found with Excel Solver and the maximum profit is$181,000. Below is the sensitivity report where DRGi represents the decision variable thatshows the number of DRGi cases handled, min DRGi represents the constraint of minimumnumber of DRGi cases that should be handled, and diagnostic, bed-day, nursing and drugsavail. represent the constraints that show the availabilities of the related resources.
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Optimization,Harshad number,The Profit,Availability,Gotham City Hospital