Final answer:
For Chuck's case, specific tax rules and regulations for stock redemptions would apply, which are not detailed in the provided information from The Darkroom Windowshade Company problem.
Step-by-step explanation:
To determine the minimum number of shares Chuck must redeem for exchange treatment, we must examine the structure and rules outlined not by The Darkroom Windowshade Company example but by tax laws and regulations that govern stock redemptions. However, The Darkroom Windowshade Company problem can help us understand the principle of majority control.
For The Darkroom Windowshade Company case, to determine the minimum number of investors needed to vote to change the company's top management, we add together the largest blocks of shares until we exceed half of the outstanding shares (which is 50,000 + 1 for the majority). Investor 1 and Investor 2 together have 38,000 shares. We would need to include Investor 3 with 15,000 shares to pass the threshold, summing up to 53,000 shares. Therefore, it would take a minimum of three investors to change the top management.
Investors 1 and 2, who together control 38,000 shares, would need more than just themselves to always get their way, as they do not control over 50% of the shares. They need at least one more investor to have a majority vote.