The irr of normal project x is greater than the irr of normal project y, and both irrs are greater than zero. Also, the npv of x is greater than the npv of y at the cost of capital. If the two projects are mutually exclusive, project x should definitely be selected, and the investment made, provided we have confidence in the data. Put another way, it is impossible to draw npv profiles that would suggest not accepting project x.



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