Based on information in the Washington Post article "The retirement costs that are rising faster than Social Security benefits", identify which costs have increased faster than Social Security benefits since the year 2000. Clothing Rent Electricity Restaurant meals Heating oil Home security systems

Acompany is developing a new high­performance wax for cross country ski racing. in order to justify the price marketingwants, the wax needs to be very fast. specifically, the mean time to finish their standard test course should be less thanseconds for a former olympic champion. to test it, the champion will ski the course 8 times. the champion's times(selected at random) are 59.9 61.9 48.8 52.2 46.6 45.3 50.6 and 41.1 seconds to complete the test course. complete parts a and b below. a) should they market the wax? assume the assumptions and conditions for appropriate hypothesis testing are metfor the sample. assume=0.05. what are the null and alternative hypotheses? choose the correct answer below. b) suppose they decide not to market the wax after the test, but it turns out that the wax really does lower the champion'saverage time to less thanseconds. what kind of error have they made? explain the impact to the company of such anerror.

Define the marginal rate of substitution between two goods (x and y). if a consumer’s preferences are given by u(x, y) = x3/4y1/4, compute the consumer’s marginal rate of substitution as a function of x and y. calculate the mrs if the consumer has chosen to consumer 48 units of x and 16 units of y. show your work. (use the back of the page if necessary.

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