(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 Expected Revenue(in $ millions)

Drug 1 Liver Cancer Treatment 450

Drug 2 Antibiotic for HIV patients 700

Drug 3 Colon Cancer 1,500

Drug 4 Cholesterol Reduction 3,500

Drug 5 Central Nervous System Treatment 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,

Liver Cancer HIV Colon Cancer Cholesterol CNS

Sr. Sci, hrs 11,500 11,500 11,500 11,500 11,500

Jr. Sci, hrs 18,500 21,000 23,000 25,000 25,000

Lab Tech, hrs 9,000 11,500 11,500 11,500 13,500

Sr. Cli Sci, hrs 5,500 6,500 8,500 9,500 9,500

Jr. Cli Sci, hrs 9,500 12,000 14,000 17,000 17,000

Stat, hrs 4,500 5,500 6,500 6,500 7,000

Formulate and solve an integer programming model to select the drug candidates.