1. [10 points] A rm considers investing in one of two projects. Project 1 requires an investment of cl. This project has a probability p1 of succeeding. If it succeeds, it brings a. prot of 7r]. Project 2 requires an initial investment of (:2. Then with probability q, it requires a further investment of (:3. This project will succeed with probability p2. If it succeeds, it brings a prot of g. Show that the rm will invest in Project 1 if (103 2 (mm C2) (P17T1 01)