In: Accounting
Adriana Corporation manufactures football equipment. In planning
for next year, the managers want to understand the relation between
activity and overhead costs. Discussions with the plant supervisor
suggest that overhead seems to vary with labor-hours,
machine-hours, or both. The following data were collected from last
year's operations:
Month | Labor-Hours | Machine-Hours | Overhead Costs | ||||||
1 | 730 | 1,360 | $ | 102,763 | |||||
2 | 715 | 1,409 | 103,806 | ||||||
3 | 670 | 1,519 | 109,869 | ||||||
4 | 745 | 1,458 | 108,249 | ||||||
5 | 785 | 1,596 | 116,196 | ||||||
6 | 755 | 1,575 | 114,446 | ||||||
7 | 750 | 1,381 | 107,058 | ||||||
8 | 715 | 1,316 | 102,084 | ||||||
9 | 715 | 1,445 | 106,395 | ||||||
10 | 795 | 1,540 | 113,045 | ||||||
11 | 680 | 1,296 | 102,966 | ||||||
12 | 715 | 1,618 | 116,168 | ||||||
Required:
a. Use the high-low method to estimate the fixed and variable portions of overhead costs based on machine-hours. (Round "Variable cost" answer to 2 decimal places.)
b. Managers expect the plant to operate at a
monthly average of 1,400 machine-hours next year. What are the
estimated monthly overhead costs, assuming no inflation?
(Round "Variable cost"
answer to 2 decimal places.)
Answer:- a)-High-Low Method:-
Variable Cost per Unit
Variable cost per unit (b) is calculated using the following formula:
Variable cost per unit=Y2-Y1/X2-X1 |
|
Where,
y2 is the total cost at highest level of activity;
y1 is the total cost at lowest level of activity;
x2 are the number of units/miles/ labor ,machine hours etc. at
highest level of activity; and
x1 are the number of units/miles/ labor, machine hours etc. at
lowest level of activity
The variable cost per unit is equal to the slope of the cost volume line (i.e. change in total cost ÷ change in number of machine hours).
Total Fixed Cost
Total fixed cost (a) is calculated by subtracting total variable cost from total cost, thus:
Total Fixed Cost = y2 – b*x2 = y1 – b*x1 |
We have,
at highest activity: x2 = 1618;
y2 = $116168
at lowest activity: x1 = 1296;
y1 = $102966
Variable Cost per machine hour = ($116168− $102966) ÷ (1618 −1296)
= $13202/322 machine hours =$41 per machine
hour
Total Fixed Cost = $116168 − ($41 × 1618) = $116168 – $66338 =$49830
b)-The estimated monthly overhead costs =
Variable costs+ Fixed costs
=(1400 machine hours*$41 per machine hour)+$49830
=$57400+$49830 =$107230