Hi, i was wondering if you would help me out with these problems and illustrate findings on the graph

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 $ b. At what probability of conviction would Sammy be indifferent between reporting and not reporting his tips? Show your work. 7a. Stealing trucks loaded with freight is a crime that is not uncommon. Consider the specific case of stealing trucks loaded with toilet paper. The market for this crime is shown on Figure 3 below. Based on this figure, you predict toilet paper trucks will be stolen per year. Return per toilet paper truck Figure 3 S+pcS S 10 20 30 40 50 60 70 80 Thefts 7b. Now suppose that an outbreak of virus triples the demand for toilet paper. Show the effect of this change on the diagram. Now, you predict that truck thefts will occur