A company has developed a new video game console. After completing cost analysis and demand forecasts, the company has determined that the profit function
for the new console is f(g) = –250g+ + 70,000g – 4,570,000 where g is the
number of consoles sold. What is the domain of the profit function?

An automobile assembly line operation has a scheduled mean completion time, μ, of 12 minutes. the standard deviation of completion times is 1.6 minutes. it is claimed that, under new management, the mean completion time has decreased. to test this claim, a random sample of 33 completion times under new management was taken. the sample had a mean of 11.2 minutes. assume that the population is normally distributed. can we support, at the 0.05 level of significance, the claim that the mean completion time has decreased under new management? assume that the standard deviation of completion times has not changed.