Aboy of mass m and a girl of mass 2m are initially at rest at the center of a frozen pond. they push each other so that she slides to the left at speed v across the frictionless ice surface and he slides to the right. what is the total work done by the children?

Suppose that a worker in agland can produce either 10 units of organic grain or 2 units of incense per year, and a worker in zenland can produce either 5 units of organic grain or 15 units of incense per year. there are 20 workers in agland and 10 workers in zenland. currently the two countries do not trade. agland produces and consumes 100 units of grain and 20 units of incense per year. zenland produces and consumes 50 units of grain and no incense per year. if each country made the decision to specialize in producing the good in which it has a comparative advantage, then the combined yearly output of the two countries would increase by a. 30 units of grain and 100 units of incense. b. 30 units of grain and 150 units of incense. c. 50 units of grain and 90 units of incense. d. 50 units of grain and 130 units of ince

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

Aproperty title search firm is contemplating using online software to increase its search productivity. currently an average of 40 minutes is needed to do a title search. the researcher cost is $2 per minute. clients are charged a fee of $400. company a's software would reduce the average search time by 10 minutes, at a cost of $3.50 per search. company b's software would reduce the average search time by 12 minutes at a cost of $3.60 per search. which option would have the higher productivity in terms of revenue per dollar of input?