Integer programming modeling & solution (A project selection problem) A pharmaceutical company wants to select the right mix of drugs to maximize it expected revenue without exceeding its R&D resources. Drug considered for development. Drug Purpose Drug 1 Drug 2 Drug 3 Drug 4 Drug 5 Liver Cancer Treatment Antibiotic for HIV patients Colon Cancer Cholesterol Reduction Central Nervous System Treatment Expected Revenue (in $ millions) 450 700 1,500 3,500 4,000 The primary resources constraints are human resource constraints based on knowledge and skill-level of people. Sr. Sci. hrs Jr. Sci. hrs Lab Tech hrs Sr. Cli Sci, hrs Jr. Cli Sci, hrs Stat, hrs 40,000 80,000 80,000 40,000 80,000 20,000 The human resource requirement for each drug development is shown as follows, Sr. Sci, hrs Jr. Sci, hrs Lab Tech, hrs Sr. Cli Sci, hrs Jr. Cli Sci, hrs Stat, hrs Liver Cancer 11,500 18,500 9,000 5,500 9,500 4,500 HIV 11,500 21,000 11,500 6,500 12,000 5,500 Colon Cancer 11,500 23,000 11,500 8,500 14,000 6,500 Cholesterol 11,500 25,000 11,500 9,500 17,000 6,500 CNS 11,500 25,000 13,500 9,500 17,000 7,000 Formulate and solve an integer programming model to select the drug candidates