Gotham City Hospital serves cases from four diagnostic-related groups (DRGs). The profit contribution, diagnostic service use (in hours), bed-day use (in days), nursing care use (in hours), and drug use (in dollars) are given in table 60. The hospital now has available each week 570 hours of diagnostic services, 1,000 bed-days. 50,000 nursing hours, and $50,000 worth of drags. To meet the community's minimum health care demands at least 10 DRG1, 15 DRG2, 40 DRG3, and 160 DRG4 cases must be handled each week. Use LP to determine the hospital's optimal mix of DRGs.t

Table 60

DRG Profit Diagnostic Service Bed-Day Nursing Use Drugs 1 2 3 4 2,000 1.500 500 300 7 4 2 1 5 2 1 0 30 10 5 1 800 500 150 50