Question

Valron Company has two support departments, Human Resources and General Factory, and two producing departments, Fabricating and Assembly.

	Support Departments		Producing Departments
	Human Resources	General Factory	Fabricating	Assembly
Direct costs	$160,000	$330,000	$114,200	$95,000
Normal activity:
Number of employees	—	60	80	170
Square footage	1,000	—	5,700	13,300

The costs of the Human Resources Department are allocated on the basis of number of employees, and the costs of General Factory are allocated on the basis of square footage.

Now assume that Valron Company uses the reciprocal method to allocate support department costs.

Required:

1. Calculate the allocation ratios (rounded to four significant digits) for the four departments using the reciprocal method. If an amount is zero, enter "0". Use the rounded values for subsequent calculations.

	Proportion of Driver Used by
	Human Resources	General Factory	Fabricating	Assembly
Human Resources	$	$	$	$
General Factory	$	$	$	$

2. Develop a simultaneous equations system of total costs for the support departments. If required, round your answers to four decimal places. Use these numbers for subsequent calculations. If required, round all other intermediate calculations to six decimal places, except the answers computed in requirement 1.

Human Resources (HR)	=	$	+	(GF)
General Factory (GF)	=	$	+	(HR)

Solve for the total reciprocated costs of each support department. (Round reciprocated total costs to the nearest dollar.)

Human Resources (HR)	$
General Factory (GF)	$

3. Using the reciprocal method, allocate the costs of the Human Resources and General Factory departments to the Fabricating and Assembly departments. Round all allocated costs to the nearest dollar. If an amount is zero, enter "0". Note: There may be a "$1" difference due to intermediate rounding.

	Support Departments			Producing Departments
	Human Resources	General Factory		Fabricating	Assembly
Direct costs	$	$		$	$
Allocate:
Human Resources	$	$	$		$
General Factory	$	$	$		$
Total after allocation	$	$		$	$

Answer 1

1.

	Proportion of Driver Used by
	Human Resources	General Factory	Fabricating	Assembly
Human Resources	-	0.1935	0.2581	0.5484
	-	(60/310)	(80/310)	(170/310)
General Factory	0.05	-	0.285	0.665
	(1000/20000)	-	(5700/20000)	(13300/20000)

2. Simultaneous equation:

Human Resources (HR) = $160000 + 0.05 GF

General Factory (GF) = $330000 + 0.1935 HR

Reciprocated costs:

Human Resources	$178229
General Factory	$364487

Human Resources (HR) = $160000 + 0.05 GF

HR = $160000 + [0.05 ($330000 + 0.1935 HR)]

HR = 160000 + (0.05 x 330000) + (0.05 x 0.1935 HR)

HR = 160000 + 16500 + 0.0097 HR

HR = 176500 + 0.0097 HR

HR - 0.0097 HR = 176500

0.9903 HR = 176500

HR = 176500/0.9903 = $178229

GF = 330000 + (0.1935 x 178229) = 330000 + 34487 = $364487

3.

	Support Departments		Producing Departments
	Human Resources	General Factory	Fabricating	Assembly
Direct costs	160000	330000	114200	95000
Allocate:
Human Resources	-178229	34487	46001	97741
General Factory	18224	-364487	103879	242384
Total after allocation	-4.65	0	264080	435125

Please note: There is a rounding off difference of $4.65.