The manufacturer of a certain engine treatment claims that if you add their product to your engine, it will be protected from excessive wear. an infomercial claims that a woman drove 6 hours without oil, to the engine treatment. a magazine tested engines in which they added the treatment to the motor oil, ran the engines, drained the oil, and then determined the time until the engines seized. complete parts (a) and (b) below. (a) determine the null and alternative hypotheses that the magazine will test. upper h 0: mu equals 6 upper h 1: mu less than 6 (b) both engines took exactly 11 minutes to seize. what conclusion might the magazine make based on this evidence? a. the infomercial's claim is not true. b. the infomercial's claim is true.

Suppose a ceiling fan manufacturer has the total cost function c(x) = 48x + 1485 and the total revenue function r(x) = 75x. (a) what is the equation of the profit function p(x) for this commodity? p(x) = (b) what is the profit on 35 units? p(35) = interpret your result. the total costs are less than the revenue. the total costs are more than the revenue. the total costs are exactly the same as the revenue. (c) how many fans must be sold to avoid losing money? fans

Adds up the money earned by producers plus taxes paid to the goverment. a) income approach b) product approach c) expenditure approach

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