answer all questions and show detailed breakdown of all math for a beginner

2. Assume an investor has the following utility function: Dollars I-Riity File Preview 7200 1 nnm 20000 30000 358M (a) Compared to the option of doing nothing with SO and 0 utility, should the investor Ercept an investment whose initial outlay is $10,000 and which will result in either complete loss of investment or an immediate cash inflow of $30,000 with probabilities of 0.5? (b) Should the investor undertake the following investment? Assume that a 5% discount rate for mone EOY 0 Cash flow ooo O with probability of 0.5 $30 000 with abili of 0.5 (c) What would be your recommendation if the probability was 0.6 for failure (cash flow SO at the end of period I in (b))?