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Misusing the percent of sales method​) The Caraway Seed Company has grown rapidly over the last...

Misusing

the percent of sales

method​)

The Caraway Seed Company has grown rapidly over the last decade and is trying to forecast the​ firm's inventory requirements for the next 5 years. Historical sales and inventories for the last 10 years are found in the popup​ window,

YEAR

SALES

INVENTORIES

2005

​$5,250,000

​$1,590,924

2006

6,200,000

1,724,221

2007

6,940,000

1,899,573

2008

5,650,000

1,530,054

2009

6,255,000

1,772,059

2010

7,100,000

1,919,042

2011

7,350,000

2,010,025

2012

8,010,000

2,006,023

2013

8,775,000

2,292,119

2014

10,390,000

2,537,486

2015

11,500,000

2016

12,000,000

2017

12,500,000

2018

13,000,000

2019

13,500,000

​, along with projected sales for the next 5 years.

a. Use the percent of sales method for forecasting​ Caraway's inventories for the next 5 years if the percent of sales is equal to the average of the percent of sales for the last 10 years.

b. The following​ graph, includes a plot of the historical relationship between inventories and sales along with a line representing the percent of sales forecast. Analyze the forecast line compared to the plot of inventory and sales to see if you see any problems with the percent of sales forecast. Discuss.

a. Using the average of the percent of sales for the last 10​ years, what are the projected inventories for​ 2015?

​$nothing

​ (Round to the nearest​ dollar.)

Using the average of the percent of sales for the last 10​ years, what are the projected inventories for​ 2016?

​$nothing

​ (Round to the nearest​ dollar.)

Using the average of the percent of sales for the last 10​ years, what are the projected inventories for​ 2017?

​$nothing

​ (Round to the nearest​ dollar.)

Using the average of the percent of sales for the last 10​ years, what are the projected inventories for​ 2018?

​$nothing

​ (Round to the nearest​ dollar.)

Using the average of the percent of sales for the last 10​ years, what are the projected inventories for​ 2019?

​ (Round to the nearest​ dollar.)

b. The following graph includes a plot of the historical relationship between inventories and sales along with a line representing the percent of sales forecast.

Analyzing the forecast line compared to the plot of​ inventory, did you see any problems with the percent of sales​ forecast?  ​(Select the best choice​ below.)

A.

​No, the percent of sales line perfectly forecasts inventory levels becuase the relationship between the two variables is very nearly linear.

B.

​Yes, the percent of sales line under forecasts inventory levels for low levels of sales and begins to over predict them for higher levels.

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