Final answer:
The minimum number of investors needed to vote for a change in top management is 51,000 shares, and investors 1 and 2 cannot be certain of always getting their way in how the company will be run.
Step-by-step explanation:
The minimum number of investors it would take to vote to change the company's top management can be calculated based on the required majority vote. To change the company's top management, a majority vote is usually required. In this case, 51,000 shares (out of 100,000 outstanding shares) would be needed for a majority vote, as 51% is usually considered a majority.
If investors 1 and 2 agree to vote together, they would have a total of 38,000 shares. Although this is not enough to have a majority vote, they can potentially influence the outcome by forming a coalition with other investors who support their views.
So, the minimum number of investors required for a majority vote is 51,000 shares, and investors 1 and 2 cannot be certain of always getting their way in how the company will be run, as they would need additional support to have a majority vote.