A financier plans to invest up to $600,000 in two projects. Project A yields a return of 9% on the investment of x dollars, whereas project B yields a return of 15% on the investment of y dollars. Because the investment in project B is riskier than the investment in project A, the financier has decided that the investment in project B should not exceed 35% of the total investment. How much should she invest in each project in order to maximize the return on her investment, P?

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