In: Accounting
PART ONE
Home Remodeling Inc. recently obtained a short-term bank loan from City National Bank. The bank required that certain credit information and pro forma financial statements be maintained through the life of the loan. In order to prepare the pro forma statements, Home Remodeling must forecast total overhead cost. The actual machine hours and overhead cost are presented below for the past six months.
Month | Overhead Cost |
Machine Hours | ||||
January | $ | 3,185 | 1,274 | |||
February | 3,484 | 1,394 | ||||
March | 2,996 | 1,150 | ||||
April | 3,210 | 1,235 | ||||
May | 3,315 | 1,230 | ||||
June | 3,440 | 1,300 | ||||
Using the high-low method, unit variable overhead cost is calculated to be:
$2.00.
$2.49.
$3.40.
$2.60.
$2.06.
PART TWO:
Armer Company is accumulating data to use in preparing its
annual profit plan for the coming year. The cost behavior pattern
of the maintenance costs must be determined. The accounting staff
has suggested the use of linear regression to derive an equation
for maintenance hours and costs. Data regarding the maintenance
hours and costs for the last year and the results of the regression
analysis follow:
Month | Maintenance Cost | Machine Hours | ||||
Jan. | $ | 4,200 | 480 | |||
Feb. | 3,000 | 320 | ||||
Mar. | 3,600 | 400 | ||||
Apr. | 2,820 | 300 | ||||
May | 4,350 | 500 | ||||
June | 2,960 | 310 | ||||
July | 3,030 | 320 | ||||
Aug. | 4,470 | 520 | ||||
Sept. | 4,260 | 490 | ||||
Oct. | 4,050 | 470 | ||||
Nov. | 3,300 | 350 | ||||
Dec. | 3,160 | 340 | ||||
Sum | $ | 43,200 | 4,800 | |||
Average | $ | 3,600 | $ | 400 | ||
Average cost per hour | $ | 9.00 | ||||
a (intercept) | $ | 684.65 | ||||
b (coefficient) | 7.2884 | |||||
Standard error of the estimate | 34.469 | |||||
R-squared | 0.99724 | |||||
t-value for b | 60.105 | |||||
If Armer Company uses the high-low method of analysis, the equation
for the relationship between hours of activity and maintenance cost
follows:
y = 570 + 9.0x
y = 400 + 9.0x
None of these answer choices are correct.
y = 3,600 + 400x
y = 570 + 7.5x
Part 1 | ||
Machine Hours | Overhead cost | |
High level of activity | 1,394 | $3,484 |
Low level of activity | 1,150 | $2,996 |
Change | 244 | $488 |
Variable Overhead Cost per machine hrs =$488 / 244 hours =$2.00 per machine hours | ||
Fixed cost element =$3,485 - (1,394*$2.00) =$697 | ||
Fixed cost element =$697 | ||
Part 2 | ||
Machine Hours | Maintainance cost | |
High level of activity | 520 | $4,470 |
Low level of activity | 300 | $2,820 |
Change | 220 | $1,650 |
Variable Maintainance Cost per machine hrs =$1650 / 220 hours =$7.50 per machine hours | ||
Fixed cost element =$4,470 - (520*$7.50) =$570 | ||
Fixed cost element =570 | ||
Cost equation is:Y =$570 + $7.50X | ||