A company wants to choose among six investments. Investment Option Estimated Net Profit 1 200,000 2 150,000 3 140,000 4 180,000 5 300,000 They have a budget of 5 million dollars and they need to choose at least two options. Additionally at most one of options 3 or 4 must be chosen. How can the last mentioned requirement be captured? Let X1, X2, X3, X4, X5, X6 be binary variables that represent whether each investment will be chosen or not Question 3 options: 

140,000X3 + 180,000X4

 5,000,000 X3 + X4  1 X3  X4 X3 + X4  

2 X3 + X4  2 140,000X3 + 180,000X4  5,000,000 

X3 + X4  1 X3  X4 X3 + X4 = 1