1) Business: The following table shows the profit (in billions of dollars) for Intel Corporation. (Data from: www.morningstar.com)
|
Year
|
Profit
|
|
2004
|
7.5
|
|
2005
|
8.7
|
|
2006
|
5.0
|
|
2007
|
7.0
|
|
2008
|
5.3
|
|
2009
|
4.4
|
|
2010
|
11.5
|
|
2011
|
12.9
|
|
2012
|
11.0
|
a) Plot the data with X=4 corresponding to the year 2004
b) Use quartic regression to find a fourth-order polynomial function h(x) that model these data.
c) Graph h(x) on the same screen as the data points. Does the graph appear to fit the data well?
d) According to the model, what were Intel's profits in 2010?
2) Business: Suppose a cost-benefit model is given by
F(x) = 6.2x/(112-x)
Where f(x) is the cost, in thousands of dollars, of removing x percent of a certain pollutant.
Find the cost of removing the given percentages of pollutants.
a) 0%
b) 50%
c) 80%
d) 90%
e) 95%
f) 99%
g) 100%
h) Graph the function on the same screen.