*3. A city will undertake five urban renewal housing projects over the next five years. Each project has a different starting year and a different duration. The following table provides the basic data of the situation:

Cost Annual income Year 1 Year 2 Year 3 Year 4 Year 5 (million $) (million $)

Project 1 Start End 5.0 .05 Project 2 Start End 8.0 .07 Project 3 Start End 15.0 .15 Project 4 Start End 1.2 .02 Budget (million $) 3.0 6.0 7.0 7.0 7.0 Projects 1 and 4 must be finished completely within their durations. The remaining two projects can be finished partially within budget limitations, if necessary. However, each project must be at least 25% completed within its duration. At the end of each year, the completed section of a project is immediately occupied by tenants and a proportional amount of income is realized. For example, if 40% of project 1 is completed in year 1 and 60% in year