PRICIPLES OF MACROECONOMICS
8th Edition
ISBN: 9781337761598
Author: Mankiw
Publisher: CENGAGE L
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Chapter 14, Problem 4PA
To determine
Present value.
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Tasks
Exercise 1
Assess the following functions:
1. f(x)= x2+6x+2
2.f '(x)=10x-2x2+5
a. Find the stationary points. (5 marks)
b. Determine whether the stationary point is a maximum or minimum. (5 marks)
c. Draw the corresponding curves (5 marks)
Problem 2:
The sales data over the last 10 years for the Acme Hardware Store are as follows:
2003
$230,000
2008
$526,000
2004
276,000
2009
605,000
2005
328,000
2010
690,000
2006
388,000
2011
779,000
2007
453,000
2012
873,000
1. Calculate the compound growth rate for the period of 2003 to 2012.
2. Based on your answer to part a, forecast sales for both 2013 and 2014.
3. Now calculate the compound growth rate for the period of 2007 to 2012.
1. Based on your answer to part e, forecast sales for both 2013 and 2014.
5. What is the major reason for the differences in your answers to parts b and d? If you were to
make your own projections, what would you forecast? (Drawing a graph is very helpful.)
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