Hi i was wondering if you would be able to help me with this question

6a. Sammy the singing waiter earns Utility Figure 2 U(income) $100,000 in tips. He is supposed to pay 30% of his earnings in income taxes. If he fails to report his tips and is convicted, he must pay a penalty of 50% on the unreported income (pay 80% total income in tax and penalty). If the probability of conviction is 70% and Sammy's utility function is shown on the left, will he report his tips? Show your work on Figure 2. 10 20 30 40 50 60 70 80 90 100 Annual Earnings in Thousands of $ 6b. At what probability of conviction would Sammy be indifferent between reporting and not reporting his tips? Show your work