8. a furniture company specializes in producing student desks and classroom shelves. the profit on a single desk is $200
and the profit on each shelf is $150. equipment in the factory allows for making at most 100 pieces of total furniture per
day. furthermore, the company must produce at least 20 desks and at least 60 shelves daily. determine how many desks
and how many shelves the company should produce each day in order to maximize their profit.

There are two major tests of readiness for college: the act and the sat. act scores are reported on a scale from 1 to 36. the distribution of act scores in recent years has been roughly normal with mean µ = 20.9 and standard deviation s = 4.8. sat scores are reported on a scale from 400 to 1600. sat scores have been roughly normal with mean µ = 1026 and standard deviation s = 209. reports on a student's act or sat usually give the percentile as well as the actual score. the percentile is just the cumulative proportion stated as a percent: the percent of all scores that were lower than this one. tanya scores 1260 on the sat. what is her percentile (± 1)?