Worldwide annual sales of a device in 2012–2013 were approximately q = −6p + 3,050 million units at a selling price of $p per unit. Assuming a manufacturing cost of $40 per unit, what selling price would have resulted in the largest annual profit? HINT [See Example 3, and recall that Profit = Revenue − Cost.] (Round your answer to two decimal places.)

Astock with a beta of 0.6 has an expected rate of return of 13%. if the market return this year turns out to be 10 percentage points below expectations, what is your best guess as to the rate of return on the stock? (do not round intermediate calculations. enter your answer as a percent rounded to 1 decimal place.)

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.

The last time he flew jet value air, juan's plane developed a fuel leak and had to make an 4) emergency landing. the time before that, his plane was grounded because of an electrical problem. juan is sure his current trip will be fraught with problems and he will once again be delayed. this is an example of the bias a) confirmation b) availability c) selective perception d) randomness