Respuesta :
Answer:
Let's denote the total amount invested by the five people as $T. According to the given conditions:
1. The woman who invested $20000 is repaid double her investment. So, she receives $40000.
2. The man who invested $7500 is repaid triple his investment. So, he receives $22500.
3. Let's denote the fixed "thank you" bonus as $q.
Now, the mean amount repaid to the five investors is $33000. So, the sum of the amounts repaid to the investors divided by 5 should equal $33000.
Thus, we have the equation:
\[
\frac{20000 \times 2 + 7500 \times 3 + (3 \cdot 20000 + q) + (3 \cdot 7500 + q) + (5 \cdot 20000 + q)}{5} = 33000
\]
Solving this equation will give us the value of $q. Once we have $q, we can find the total amount invested, $T, by summing up the initial investments:
\[
T = 20000 + 7500 + (3 \cdot 20000 + q) + (3 \cdot 7500 + q) + (5 \cdot 20000 + q)
\]
Now, to assess whether the method of repayment is fair, we need to consider if the total repayment is commensurate with the total investment made by all investors. If the total amount repaid is significantly greater than the total investment, it could be deemed unfair as it might imply an excessive return on investment for the investors. Conversely, if the total repayment is less than the total investment, it might be considered unfair as it fails to adequately compensate the investors for their investment risk and opportunity cost.
