Final answer:
To change the top management at the Darkroom Windowshade Company, a combination of investors with over 50% of the shares must vote together. Investors 1 and 2, owning 20,000 and 18,000 shares respectively, can achieve this by teaming up with investor 3, as their combined shares would exceed 50% of the total voting power. With this majority, they can control the outcome of the vote.
Step-by-step explanation:
The Darkroom Windowshade Company situation is a scenario dealing with shareholder voting power and corporate governance. Specifically, the scenario addresses the minimum number of shareholders needed to change the company's top management and the implications of a voting agreement between two major shareholders, investor 1 and investor 2. To determine the minimum number of investors required, one would add the share ownership percentages, starting from the largest shareholder, until reaching over 50% control. Considering investors 1 and 2 have 20,000 and 18,000 shares respectively, combined they have 38% of the voting power (38,000/100,000). To ensure a majority, they would need more than 50%, meaning they would need to team up with at least investor 3 who owns 15% of the shares, bringing their total control to 53%. As 53% is a majority, investors 1 and 2 can be certain of getting their way in how the company is run when they vote together with investor 3.