Janine works for a company that makes lawn chairs. She knows that they can maximize profits and make $7500 if they sell the chairs for $112 each. She also knows that they will lose $7312 if they sell the chairs for $89 each. a) Write a quadratic relation to model the company’s profits P, in dollars, if the chairs sell for x dollars each.

b) What selling price will ensure a profit of $5000?

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.