An investor believes that she can improve the operating income of a target firm by 20 percent by introducing modern management and marketing techniques. A review of the target's financial statements reveals that it's operating profit in the current year is 18.0 million. Recent transactions, resulting in a controlling interest in similar businesses in public equity market, were valued at six times operating income. The investor also believes that the liquidity discount for businesses similar to the target firm is 10 percent. What is the highest price in million she should be willing to pay for a 55 percent stake in the target firm