$($f$)$ Now you again consider all five scientists. You decide, however, that several scientists cannot

lead certain projects. In particular, Dr$.$ Mickey does not have experience with research in the

immune system, so he cannot lead Project Hope. His family also has a history of manicdepression, and you feel that he would be too personally involved in Project Stable to serve as an

effective project leader. Dr$.$ Mickey therefore cannot lead Project Stable. Dr$.$ Kvaal also does not

have experience with research on the immune systems and cannot lead Project Hope. In

addition, Dr$.$ Kvaal cannot lead Project Release because he does not have experience with

research on the cardiovascular system. Finally, Dr$.$ Rollins cannot lead Project Up because her

family has a history of depression and you feel she would be too personally involved in the project

to serve as an effective leader. Because Dr$.$ Mickey and Dr$.$ Kvaal cannot lead two of the five

projects, they each have only $600$ bid points. Dr$.$ Rollins has only $800$ bid points because she

cannot lead one of the five projects. The following table provides the new bids of Dr$.$ Mickey, Dr$.$

Kvaal, and Dr$.$ Rollins: