Microeconomics (12th Edition) (Pearson Series in Economics)
Microeconomics (12th Edition) (Pearson Series in Economics)
12th Edition
ISBN: 9780133872293
Author: Michael Parkin
Publisher: PEARSON
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Chapter 11.2, Problem 2RQ
To determine

Law of diminishing returns and why marginal product eventually diminishes.

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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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