Sangeeta owns an equity stake in a biotech firm that is waiting for FDA approval for a new cancer treatment. Specifically, she owns 10,000 shares in...

4. Sangeeta owns an equity stake in a biotech firm that is waiting for FDA approval for a new cancer treatment. Specifically, she owns 10,000 shares in the company. If the treatment is approved, then her 10,000 shares are worth a total of $160,000. If the treatment is not approved, then the total value of her shares is only $10,000. The probability that the FDA will approve the treatment is 0.2. Her only income is the value of her stake in this company. Sangeeta's utility of income, x, is represented by the function