Question

An investor has ​$ to invest in a cd and a mutual fund. The cd yields ​% and the mutual fund yields ​%. The mutual fund requires a minimum investment of ​$​, and the investor requires that at least twice as much should be invested in cds as in the mutual fund. How much should be invested in cds and how much in the mutual fund to maximize the​ return? what is the maximum​ return?.

Answer 1

The amount of $25,000 will be invested in the mutual funds while the amount of $50,000 will be invested in the CDs.

What represents the Two Investment?

Let X represent the amount in Mutual Funds and Y represent the amount in CDs.

The constraints includes:

Y = 2x; x>9000; Y = 75000 - x

Now, there need to be at least 2x + x = 75000; 3x = 75000; x = 25000

Now, given that x equals $25,000, then, the mutual funds equals $25,000 while the Y equals $50,000 for CDs ($75,000 - $25,000).

Therefore, the amount of $25,000 will be invested in the mutual funds while the amount of $50,000 will be invested in the CDs.

Complete question "An investor has 75,000$ to invest in CD and mutual funds. The CD yields 7% and mutual funds 5%. the mutual fund requires a minimum investment of $9000 and the investor requires that at least twice as much should be invested in CDs as mutual funds. How much should be invested in Cds? How much in mutual funds? what is the maximum return?"

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