The economist Bryan Caplan recently found a pair of $10 arch supports that saved him from the pain of major foot surgery. As he stated on his blog (econlog. econlib. org), he would have been willing to pay $100,000 to fix his foot problem. Instead, he paid only a few dollars. a. How much consumer surplus did Bryan enjoy from this purchase

In a macroeconomic context, what are implicit liabilities? money owed to people possessing government issued bonds. the amount of money that firms collectively owe to shareholders. money that the government has promised to pay in the future. payments that the federal government undertakes only during periods of recession. which of the choices is a significant implicit liability in the united states? military spending education spending national science foundation spending social security

The following selected circumstances relate to pending lawsuits for erismus, inc. erismus’s fiscal year ends on december 31. financial statements are issued in march 2019. erismus prepares its financial statements according to u.s. gaap. required: indicate the amount erismus would record as an asset, liability, or not accrued in the following circumstances. 1. erismus is defending against a lawsuit. erismus's management believes the company has a slightly worse than 50/50 chance of eventually prevailing in court, and that if it loses, the judgment will be $1,000,000. 2. erismus is defending against a lawsuit. erismus's management believes it is probable that the company will lose in court. if it loses, management believes that damages could fall anywhere in the range of $2,000,000 to $4,000,000, with any damage in that range equally likely. 3. erismus is defending against a lawsuit. erismus's management believes it is probable that the company will lose in court. if it loses, management believes that damages will eventually be $5,000,000, with a present value of $3,500,000. 4. erismus is a plaintiff in a lawsuit. erismus's management believes it is probable that the company eventually will prevail in court, and that if it prevails, the judgment will be $1,000,000. 5. erismus is a plaintiff in a lawsuit. erismus’s management believes it is virtually certain that the company eventually will prevail in court, and that if it prevails, the judgment will be $500,000.

Describe three scenarios in which you might utilize mathematics to investigate a crime scene, accident scene, or to make decisions involving police practice. be sure to explain how math is used in police as they work through each scenario.