A financial investor builds a portfolio that is worth an expected $35$mil. The investor knows that his analysts can build a model to boost the potential return from the portfolio investment. The additional return has a Normal Distribution with mean $3$mil and standard deviation $0\mathrm{.}5$mil. The investor wishes to sell his financial services at a price that guarantees his expected profit will be $5\%$ of the total return from the portfolio.

A$)$ What should the price of his financial service be$?$ Do we need to take additional return's standard deviation into account?