Must be an answer in Python: Suppose we have an investor that is trying to decide on investing $$10,000$ between two securities $($a and b$).$ Security a costs $$20$ per unit and security b costs $$40$ per unit. A year later, securities a and b will pay $60$ dollars and $15$ dollars, respectively, in state u; and in state d$,$ security a will pay $5$ dollars, and security b will pay $50$ dollars. The state u is likely to occur with $30\%$ probability while the state d is likely to occur with $70\%$ probability. And the investor's utility function is u$($w$)=$ w $**0\mathrm{.}5($square root of wealth$).$ How many units of each security the investor should buy to maximize the expected utility?