please include the linear problem model!

5 What pitching rotation should Greg set to provide the highest sum of the probabilities of winning each game for his team? 5-25 Cindy Jefferson, hospital administrator at Anderson Hospital must appoint head nurses to four newly established departments: urology, cardiology, or- thopedics, and pediatrics. Believing in the decision modeling approach to problem solving, Cindy has in- terviewed four nursesMorris, Richards, Cook, and Morgan-and developed an index scale ranging from 0 to 100 to be used in the assignment. An index of 0 implies that the nurse would be perfectly suited to that task. A value close to 100, on the other hand, implies that the nurse is not at all suited to head that unit. The following table gives the complete set of index scales that Cindy feels represent all possible assignments. SI DEPARTMENT CARDIO- LOGY ORTHO- PEDICS PEDIATRICS NURSE UROLOGY Morris 15 18 28 75 5. 48 32 Richards Cook Morgan 23 24 55 36 51 25 38 36 12 38