Final answer:
A combination of investors holding over 50,000 shares is required to change the company's top management. Investors 1 and 2 together hold 38,000 shares, which is not a majority. Therefore, they cannot always ensure to get their way, and at least three investors are needed to have the majority.
Step-by-step explanation:
To determine the minimum number of investors required to change the company's top management, one must calculate the majority of the 100,000 shares. A simple majority requires more than 50,000 shares. Here's the breakdown:
- Investor 1: 20,000 shares
- Investor 2: 18,000 shares
- Investor 3: 15,000 shares
- Investor 4: 10,000 shares
- Investor 5: 7,000 shares
- Investors 6-11 (six investors): 5,000 shares each, totaling 30,000 shares
If Investors 1 and 2 vote together, they control 38,000 shares. This is not a majority, so they cannot be certain of always getting their way in how the company is run. To change top management, it requires a combination of investors holding more than 50,000 shares. Considering the distribution of shares above, this can be achieved with a minimum of three investors, assuming those three are Investors 1, 2, and 3, who jointly hold 53,000 shares.