3) A risk-loving individual has $1000 to invest. The individual maximizes his/her expected utility and has a monotonic utility function. Show that he/she will never choose a diversified portfolio - that is show that he/she will either keep the entire $1000 in a safe, or invest the entire 51000 in a risky assesst, for which each $1 invested yields $J with probability p, and SB with probability (1-p), where $B