Alex loves playing rock 'n' roll music at high volume. clancy loves opera and hates rock 'n' roll. unfortunately, they are next-door neighbors in an apartment building with paper-thin walls. in this case, imposes a externality on his neighbor in the form of noise pollution. why might a command-and-control policy that forbids music to be played above a certain decibel level lead to an inefficient outcome? an efficient outcome can be achieved only if everyone can do what they love. alex playing his music loudly does not do any harm if clancy is not home. it is unfair because such policy would restrict alex's activity but not clancy's. suppose the landlord lets the tenants do whatever they want. true or false: according to the coase theorem, alex and clancy might not be able to reach an agreement if the transaction costs are high. true false

You are chairman of the board of a successful technology firm. there is a nominal federal corporate tax rate of 35 percent, yet the effective tax rate of the typical corporation is about 12.6%. your firm has been clever with use of transfer pricing and keeping money abroad and has barely paid any taxes over the last 5 years; during this same time period, profits were $28 billion. one member of the board feels that it is un-american to use various accounting strategies in order to avoid paying taxes. others feel that these are legal loopholes and corporations have a fiduciary responsibility to minimize taxes. one board member quoted what the ceo of exxon once said: “i’m not a u.s. company and i don’t make decisions based on what’s good for the u.s.” what are the alternatives? what are your recommendations? why do you recommend this course of action?

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.

Profits from using currency options and futures.on july 2, the two-month futures rate of the mexican peso contained a 2 percent discount (unannualized). there was a call option on pesos with an exercise price that was equal to the spot rate. there was also a put option on pesos with an exercise price equal to the spot rate. the premium on each of these options was 3 percent of the spot rate at that time. on september 2, the option expired. go to the oanda.com website (or any site that has foreign exchange rate quotations) and determine the direct quote of the mexican peso. you exercised the option on this date if it was feasible to do so. a. what was your net profit per unit if you had purchased the call option? b. what was your net profit per unit if you had purchased the put option? c. what was your net profit per unit if you had purchased a futures contract on july 2 that had a settlement date of september 2? d. what was your net profit per unit if you sold a futures contract on july 2 that had a settlement date of september 2