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Nadia is trying to select from a list of possible capital projects. The projects, along with their cost and benefits, are listed below. Nadia's available

Nadia is trying to select from a list of possible capital projects. The projects, along with their cost and benefits, are listed below. Nadia's available budget is $1 million. In addition to spending constraints, Nadia would like to select at least 2 projects. Projects 2 and 4 cannot both be selected together. Formulate the problem as a linear program and determine the optimal solution.

Project Cost Net Present Value
1 $285,000 $780,000
2 $275,000 $770,000
3 $240,000 $400,000
4 $275,000 $570,000
5 $255,000 $730,000

Which projects should Nadia select?

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