Suppose the utility function is $U(W)=2+1\mathrm{.}5ln(W).$

i$)$ What is the utility level at wealth levels $$50,000$ and $$100,000?$

ii$)$ Calculate the expected wealth and expected utility of a gamble that has an equal chance of

ending up with a wealth level of $$50,000$ or $$100,000.$

iii$)$ What is the certainty equivalent of the risky prospect?