Answer:
a. Dr. Franklin wishes he were the one who had invented the new web application.
b. If he were willing to submit the proposal, we might win the bid.
Step-by-step explanation:
The subjunctive mood is when we're talking about wishes, doubts, and possibilities, in this case, we have two examples, where Dr. Franklin wishes to invent the new web application, and the other sentence is a possibility because he believes that they can win the bid. The last example is an affirmation.