Question

Bay Co. has accumulated data to use in preparing its annual profit plan for the upcoming...

Bay Co. has accumulated data to use in preparing its annual profit plan for the upcoming year. The cost behavior pattern of the maintenance costs must be determined. Data regarding the machine hours and maintenance costs for the last year are as follows:

Month Maintenance Cost ($)

Machine Hours

Jan.

5040 620
Feb. 3600 420
Mar. 4320 520
Apr. 3380 390
May 5220 650
June 3550 400
July 3640 430
Aug. 5360 680
Sept. 5110 640
Oct. 4860 610
Nov. 3960 460
Dec. 3790 440
Sum $51830 6260
Average $4319 522

Required:

a) Estimate the cost function using the high-low method. Cost Function: ____________________________________

b) Estimate the maintenance expense for a month that the firm expects to operate 600 machine hours (round to nearest whole dollar)? $____________________________________

c) Evaluate 2 measures for precision and 2 measures of reliability of the regression model:

a. Precision: ____________________________________

____________________________________

b. Reliability: ____________________________________

____________________________________

Homework Answers

Answer #1

From above high and low cost is as follows:

Month Maintenance Cost Machine Hours
Apr.                3,380.00     390.00
Aug.                5,360.00     680.00

Variable Cost Per Unit = Differnce of High-Low Cost / Difference of Machine Hours

= (5360-3380) / (680-390)

= 6.83 Per Mach Hour

Fixed Cost = Total Cost - Variable Cost
Fixed Cost = 5360 - (680 x 6.83)

= 5360-4644.40

= $715.60

Approx fixed cost = $ 716

The relationship between machine hours and maintenance cost is y = 715.60 + 6.83(x)

The maintenance expense for a month that the firm expects to operate 600 machine hours  

= 715.60 + (6.83*600)

= $ 4,813.60

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