Final answer:
The net return of project a, given the budget constraints, is $200,000.
Step-by-step explanation:
The question is asking about the net return of project a, given the budget constraints. To determine this, we need to consider the expected rate of return for project a and compare it to the other investment options.
Based on the information provided, we have the following probabilities and returns for project a:
- 10% chance of $5,000,000 profit
- 30% chance of $1,000,000 profit
- 60% chance of losing $1,000,000
To calculate the net return of project a, we multiply the probabilities of each outcome by their respective returns and sum them up:
Net return of project a = (0.10 * $5,000,000) + (0.30 * $1,000,000) + (0.60 * -$1,000,000)
Net return of project a = $500,000 + $300,000 - $600,000
Net return of project a = $200,000
Therefore, the net return of project a is $200,000.