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Solution
1. Maintenance cost at the 73,000 machine-hour level of activity can be isolated as follows:
Level of Activity
43,000 MHs
73,000 MHs
Total factory overhead cost ........
$180,060
$261,660
Deduct:
Utilities cost @ $1.60 per MH*.
68,800
116,800
Supervisory salaries ................
48,000
48,000
Maintenance cost ......................
$63,260
$96,860
*$68,800 ÷ 43,000 MHs = $1.60 per MH
2. High-low analysis of maintenance cost:
Machine- Hours
Maintenance Cost
High activity level .................... 73,000 $ 96,860
Low activity level ..................... 43,000 63,260 Change ................................... 30,000 $ 33,600
Variable rate:
Change in cost
= $33,600
= $1.12 per MH
Change in activity 30,000 MHs
Total fixed cost:
Total maintenance cost at the high activity level ..
$96,860
Less variable cost element
(73,000 MHs x $1.12 per MH) .........................
81,760
Fixed cost element ............................................
$ 15,100
Therefore, the cost formula for maintenance is $15,100 per month plus
$1.12 per machine-hour or
Y = $15,100 + $1.12X.
3. Variable Cost per
Machine-Hour Fixed Cost
Utilities cost ....................
$1.60
Supervisory salaries cost..
$48,000
Maintenance cost ............
1.12
15,100
Total overhead cost .........
$2.72
$63,100
Thus, the cost formula would be: Y = $63,100 + $2.72X.
4. Total overhead cost at an activity level of 48,000 machine-hours:
Fixed costs.................................................
$ 63,100
Variable costs: 48,000 MHs x $2.72 per MH
130,560
Total overhead costs...................................
$193,660
| 43,000 MHs | 73,000 MHs | |
| Total factory overhead cost ........ | $180,060 | $261,660 |
| Deduct: | ||
| Utilities cost @ $1.60 per MH*. | 68,800 | 116,800 |
| Supervisory salaries ................ | 48,000 | 48,000 |
| Maintenance cost ...................... | $63,260 | $96,860 |


