(a)An entrepreneur seeks $12 million from a Venture Capital fund. The entrepreneur and fund managers agree that the entrepreneur's venture is currently worth $30 million and that the company is likely to be ready to go public in four years. At that time, the company is expected to have net income of $6 million, and comparable firms are expected to be selling at a price/earnings ratio of 25. Given the company's stage of development, the venture capital fund managers require a 40 percent compound annual return on their investment. What fraction of the firm will the fund receive in exchange for its $12 million investment.