An investor is evaluating two shares: Premier Group Ltd and Sappi Ltd$.$ Premium Group Ltd is a food producer and consumer products maker, while Sappi Ltd is a pulp and paper company. The shares of these two companies have a covariance of $-0\mathrm{.}770000.$ The expected return on Premium Group Ltd is $10\%$ with a standard deviation of $8\mathrm{.}12\%,$ while Sappi Ltd has an expected return of $8\mathrm{.}80\%$ with a standard deviation of $4\mathrm{.}75\%.$ Determine the optimal weight of Premium Group Ltd in the investors two$-$asset portfolio by using the Factor A method.