Aprinting company orders paper from two different suppliers. supplier x charges $25 per case. supplier y charges $20 per case. the company needs to order at least 45 cases per day to meet demand and can order no more than 30 cases from supplier x. the company needs no more than 2 times as many cases from supplier y as from supplier x. let x = the number of cases from supplier x and y = the number of cases from supplier y.

complete the constraints on the system.

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.