An investor is considering to organize a forum to exhibit an education product on the

coming Sunday. The success of the event depends on the weather condition on that day

which could be one of the following three possibilities: Good $($G$),$ Moderate $($M$)$ and

Raining $($R$).$ The returns and probabilities together with a risk$-$free opportunity $($e$.$g$.$

deposit money in a bank$)$ are given below

The investor's utility function is $U(x)=ln(x).$ How to invest in the risky asset and the

risk$-$free one?