Larger amounts of money invested in things like CDs (certificates of deposit) get a better rate of return. Suppose the rates of return depend on the amount invested as follows: Invested amount Rate of return 0-1,000,000 4% 1,000,000–3,000,000 5% >3,000,000 5.5% Three companies are going to form an investment partnership to pool their money. Suppose Company 1 will invest $1,800,000, company 2, $900,000, and company 3, $300,000. How should the net amount earned on the total investment be split among the three companies? Define an appropriate characteristic function. Find the core.
Larger amounts of money invested in things like CDs (certificates of deposit) get a better rate of return. Suppose the rates of return depend on the amount invested as follows: Invested amount Rate of return 0-1,000,000 4% 1,000,000–3,000,000 5% >3,000,000 5.5% Three companies are going to form an investment partnership to pool their money. Suppose Company 1 will invest $1,800,000, company 2, $900,000, and company 3, $300,000. How should the net amount earned on the total investment be split among the three companies? Define an appropriate characteristic function. Find the core.
Chapter11: Capital Budgeting Decisions
Section: Chapter Questions
Problem 4EB: Assume a company is going to make an investment in a machine of $825,000 and the following are the...
Question
![Larger amounts of money invested in things like CDs (certificates of deposit) get a
better rate of return. Suppose the rates of return depend on the amount invested as
follows:
Invested amount
Rate of return
0-1,000,000
4%
1,000,000–3,000,000 5%
>3,000,000
5.5%
Three companies are going to form an investment partnership to pool their money.
Suppose Company 1 will invest $1,800,000, company 2, $900,000, and company 3,
$300,000. How should the net amount earned on the total investment be split among
the three companies? Define an appropriate characteristic function. Find the core.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd7fcebcb-4502-4aff-ad71-839b9fa1051b%2Fa057f10e-4d13-479c-9610-c9081895c57a%2Fw49mc9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Larger amounts of money invested in things like CDs (certificates of deposit) get a
better rate of return. Suppose the rates of return depend on the amount invested as
follows:
Invested amount
Rate of return
0-1,000,000
4%
1,000,000–3,000,000 5%
>3,000,000
5.5%
Three companies are going to form an investment partnership to pool their money.
Suppose Company 1 will invest $1,800,000, company 2, $900,000, and company 3,
$300,000. How should the net amount earned on the total investment be split among
the three companies? Define an appropriate characteristic function. Find the core.
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