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.

Principles of Accounting Volume 2
19th Edition
ISBN:9781947172609
Author:OpenStax
Publisher:OpenStax
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.
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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