Big Construction Company, a risk neutral developer, is considering two alternative projects for the purposes of investing in one of them. Option $1$ is a fixed fee project, where Big Construction Company will generate a profit of R$150$ million. The profit of Option $2$ on the other hand is uncertain. The Directors believe that option $2$ has a $20\%$ probability of generating R$275$ million, a $50\%$ probability of generating R$100$ million and a $30\%$ probability of returning a profit of R$80$ million. Calculate the expected monetary values of options $1$ and $2$ and advise which option Big Construction Company would select. Which alternative would a risk seeking company be likely to select? Why?