Example 2 - A capital budgeting problem: The Think-Big Development Co. is a major investor in commercial real- estate development projects. It currently has the opportunity to share in three large construction projects: Project 1: Construct a high-rise office building. Project 2: Construct a hotel. Project 3: Construct a shopping center. Each project requires each partner to make investments at four different points in time: a down payment now, and additional capital after one, two and three years. The table below shows for each project the total amount of investment capital required from all the partners at these four points in time. Investment Capital Requirements (in Million Dollars) Year Office Building Hotel Shopping Center 40 80 80 80 20 Net present value 70 Based on current estimates of future cash flows, the estimated net present value for each project is shown in the bottom row of the table. For each project, participation shares are being sold to major investors, such as Think-Big, who become the partners for the project by investing their proportional shares at the four specified points in time. The company currently has $25 million available for capital investment. Projections are that another $20 million will become available after one year, $20 million more after two years, and another $15 million after three years. What share should Think-Big take in the respective projects to maximize the total net present value of these investments