Conduct a break-even analysis for the drug Gardasil (a Merck vaccine). Calculate the number of years it takes for Merck to recoup its investment in a vaccine such as Gardasil based on the following information:

R&D Expenditures for typical drug: $1 billion

Marketing expenditures to launch: $100 million

Failure rate of R&D projects: 80%

Price of vaccine: $120 per unit

Cost of Goods Sold: $4.50 per unit

Projected annual sales: $1.8 billion per year