A financier plans to invest up to $$675,000$ in two projects. Project A yields a return of $10\%$ on the investment, whereas Project B yields a return of $15\%$ on the investment. 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 $40\%$ of the total investment. How much should she invest in each project to maximize the return on her investment?