1.The GDP of a certain country is growing at a constant rate.In 1995 the GDP was 125 billion dollars,and in 2003 it was 155 billion dollars.If this trend continues,at what percentage rate will the GDP be growing in 2010?
2.A manufacturer can produce digital recorders at a cost of $50 apiece.It is estimated that if the recorders are sold for p dollars apiece,consumers will buy q=120-p recorders each month.
a.express the manufacturer's profit P as a function of q.
b.What is the average rate of profit obtained as the level of production increases from q=0 to q=20?
c.at what rate is profit changing when q=20 recorders are produced?Is the profit increasing or decreasing at this level of production?