Which color will sell the most units in 2019?   B) Which color will sell the most units combined in the 2019 to 2021 period?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Sales of RedShoes.com follow a peculiar, but predictable, pattern that determines how many units will sell in any given year.  This pattern is shown below.

  Unit Sales
Shoe Color 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017 2018
Red 28 42 21 23 29 15 8 4 2 1 discontinued
Green       26 39 20 22 28 14 7 4 2
White           43 65 33 36 45 23 12
Brown               58 87 44 48 60
Yellow                 37 56 28 31
Black                   28 42 21
Orange                     19 29
Purple                       24
Total 28 42 21 49 68 78 95 123 176 181 164 179

 

 

Questions                
A) Which color will sell the most units in 2019?  
B) Which color will sell the most units combined in the 2019 to 2021 period?
                 
Please show all your analysis, leave formulas in cells, and specify any assumptions you make.
                 
Expert Solution
Step 1

From the given data we can arrive at two tables as follows:

Table 1

Shoe Color 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017 2018
Red 28 42 21 23 29 15 8 4 2 1 0 0
Green       26 39 20 22 28 14 7 4 2
White           43 65 33 36 45 23 12
Brown               58 87 44 48 60
Yellow                 37 56 28 31
Black                   28 42 21
Orange                     19 29
Purple                       24

Table 2:

Year Unit Sales
2007 28
2008 42
2009 21
2010 49
2011 68
2012 78
2013 95
2014 123
2015 176
2016 181
2017 164
2018 179
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