Question

Ethan Manufacturing Inc. produces floor mats for automobiles. The owner, Joseph Ethan, has asked you to assist in estimating maintenance costs. Together, you and Joseph determine that the single best cost driver for maintenance costs is machine hours. These data are from the previous fiscal year for maintenance costs and machine hours: Month Maintenance Costs $ 2,770 2,930 3,080 3,190 3,270 3,240 3,180 3,020 2,790 2,390 2,400 2,620 Machine Hours 1,860 1,940 2,020 2,040 2,070 2,050 2,030 2,010 1,870 1,270 1.470 1,760 Required: 1. What is the cost equation for maintenance costs using the high-low method? 2. Calculate the mean absolute percentage error (MAPE) for the cost equation you developed in requirement 1. Complete this question by entering your answers in the tabs below. Required 1 Required 2 Calculate the mean absolute percentage error (MAPE) for the cost equation you developed in requirement 1. (Do not round leulations, with the exception or MAPE for each month, which should be rounded to three decimal places. Input e percentage rounded to 1 decimal place (T.e., 0.054 = 5.4%). Include any outliers in your calculations.) your final answer as a percentage rounded to 1 decimal Mean absolute percentage error (MAPE) Required 1

Answer 1

1.

Maintenance Costs

=

$ 724

+

$ 1.10

x

M = Machine Hours

W.N

High-low Method = (Highest Cost - Lowest Cost) / (Highest Hours - Lowest Hours)
Cost per Hour	= (3270-2390)/(2070-1270)
	$     1.10
Fixed Cost	= 2770-(1860*1.10)
	$       724

2.

Month	Maintenance Expense	Machine Hours	Forecasted ($724*1.1X)	APE%
A	B	C	D	(B-D)/B*100
1	$         2,770	1,860	$ 2,770	0.000
2	$         2,930	1,940	$ 2,858	2.457
3	$         3,080	2,020	$ 2,946	4.351
4	$         3,190	2,040	$ 2,968	6.959
5	$         3,270	2,070	$ 3,001	8.226
6	$         3,240	2,050	$ 2,979	8.056
7	$         3,180	2,030	$ 2,957	7.013
8	$         3,020	2,010	$ 2,935	2.815
9	$         2,790	1,870	$ 2,781	0.323
10	$         2,390	1,270	$ 2,121	11.255
11	$         2,400	1,470	$ 2,341	2.458
12	$         2,620	1,760	$ 2,660	1.527
				55.439
	MAPE%	= 55.4391/12		4.62