In: Accounting
GIOJ is a manufacturing company whose total factory overhead costs fluctuate considerably from year to year according to increases and decreases in the number of direct labor-hours worked in the factory. Total factory overhead costs at high and low levels of activity for recent years are given below: |
Level of Activity |
|||||
Low | High | ||||
Direct labor-hours | 48,300 | 64,400 | |||
Total factory overhead costs | $ | 269,360 | $ | 304,780 | |
The factory overhead costs above consist of indirect materials, rent, and maintenance. The company has analyzed these costs at the 48,300-hour level of activity as follows: |
Indirect materials (variable) | $ | 86,940 |
Rent (fixed) | 134,000 | |
Maintenance (mixed) | 48,420 | |
Total factory overhead costs | $ | 269,360 |
To have data available for planning, the company wants to break down the maintenance cost into its variable and fixed cost elements. |
Required: |
1. |
Estimate how much of the $304,780 factory overhead cost at the high level of activity consists of maintenance cost. (Hint: To do this, it may be helpful to first determine how much of the $304,780 consists of indirect materials and rent. Think about the behavior of variable and fixed costs!) (Do not round intermediate calculations.) |
2. |
Using the high-low method, estimate a cost formula for maintenance. (Do not round intermediate calculations.) |
3. |
What total factory overhead costs would you expect the company to incur at an operating level of 53,130 direct labor-hours? (Do not round intermediate calculations.) |
1) Estimate how much of the $304,780 factory overhead cost at the high level of activity consists of maintenance cost.
Indirect material (variable) (1.8*64400) | 115920 |
Rent (fixed) | 134000 |
Maintenance (mixed) | 54860 |
Total cost | 304780 |
2) Using the high-low method, estimate a cost formula for maintenance. (Do not round intermediate calculations.)
Variable cost per hour = Change in cost/change in hours
= (54860-48420)/(64400-48300)
Variable costper hour = 0.40 per hour
Fixed cost = Total cost-variable cost
= 54860-(64400*.40)
Fixed cost = 29100
Y=a+bx
Y=29100+0.40*X
3) What total factory overhead costs would you expect the company to incur at an operating level of 53,130 direct labor-hours? (Do not round intermediate calculations.)
Indirect material (variable) (1.8*53130) | 95634 |
Rent (fixed) | 134000 |
Maintenance (mixed) (53130*0.40+29100) | 50352 |
Total cost | 279986 |