A financier plans to invest up to $$500,000$ in two projects. Project A yields a return of $8\%$ on the investment of x dollars, whereas Project B yields a return of $13\%$ 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?