2. 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 below. DRG Profit Diagnostic Services Bed-Day Nursing Use Drugs 1 2000 7 5 30 800 2 1500 4 2 10 500 3 500 2 1 4 300 1 0 5 1 150 50 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 drugs. 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. Solve the problem using Excel Solver.