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A financier plans to invest up to $500,000 in two projects. Project A yields a return of 9% on the investment of x dollars, whereas Project B yields a return of 17% on the investment of y dollars. Because the investment in Project B is riskier than the investment in Project A, she has decided that the investment in Project B should not exceed 40% of the total investment. How much should the financier invest in each project in order to maximize the return on her investment

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Answer:

She should invest $300,000 in Project A, and $200,000 in Project B.

Explanation:

Solution

Since Project B yields a higher return, she should invest as much money as possible in it, which is 40% of the total investment  or

or (0.40)($500,000) = $200,000

so

The remaining $500,000 - $200,000 = $300,000 should be invested in Project A.

Therefore, she should invest $300,000 in Project A, and $200,000 in Project B.

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