You have $$1\mathrm{.}6$ million and are looking for a $9\mathrm{.}4\%$ expected return on your portfolio, which will include two Stocks, A and B$.$ The expected returns of Stock A and Stock B are $11\%$ and $6\mathrm{.}1\%$ respectively. How many dollars should you invest in Stock B to achieve your $9\mathrm{.}4\%$ expected return?