Marianna started DeepDive, a AI firm that provides insights into a firm's customers, with $$200$K from her savings two years ago. Her firm has made substantial progress and needs $ $2$ million to expand operations. She is highly confident that her firm can rapidly acquire new clients and that she will be able to sell the firm for $$60$ million in five years. She does not plan to borrow, since she estimates that the $$2$ million is adequate to cover operating expenses over the next five years. She has approached your VC firm for funding. You believe that DeepDive is a good opportunity. You require a return of $70\%$ on x your investment, given the risks of the venture.

a$.$What should be the stake in GeneCure that you need to meet your return objectives?

b$.$If Marianna is willing to accept your revised terms, what is the implied post$-$money and pre$-$money value of GeneCure today?