Finch Corporation estimated its overhead costs would be $23,700
per month except for January when it pays the $169,830 annual
insurance premium on the manufacturing facility. Accordingly, the
January overhead costs were expected to be $193,530 ($169,830 +
$23,700). The company expected to use 7,200 direct labor hours per
month except during July, August, and September when the company
expected 9,300 hours of direct labor each month to build
inventories for high demand that normally occurs during the
Christmas season. The company’s actual direct labor hours were the
same as the estimated hours. The company made 3,600 units of
product in each month except July, August, and September, in which
it produced 4,650 units each month. Direct labor costs were $24.00
per unit, and direct materials costs were $11.40 per unit.
Required
Calculate a predetermined overhead rate based on direct labor hours.
Determine the total allocated overhead cost for January, March, and August.
Determine the cost per unit of product for January, March, and August.
Determine the selling price for the product, assuming that the company desires to earn a gross margin of $21.10 per unit.
Answer:
A) |
The pre-determined overhead rate should be for the whole year. |
|||
Total estimated overhead = 23,700*12+169,830 = |
$ 454,230 |
|||
Total estimated direct labor hours = 7200*9+9300*3 = |
92,700 |
DLH |
||
Pre-determined OH rate = 454,230/92,700 = |
$ 4.90 |
|||
B) |
January |
March |
August |
|
Number of units produced |
3,600 |
3,600 |
4,650 |
|
Direct labor hours worked |
7,200 |
7,200 |
9,300 |
|
Total overhead allocated at $4.90 per hour |
$35,280 |
$35,280 |
$45,570 |
|
C) |
||||
Material cost at $11.40 |
41,040 |
41,040 |
53,010 |
|
Labor cost at $24.00 |
172,800 |
172,800 |
223,200 |
|
Overhead allocated |
35,280 |
35,280 |
45,570 |
|
Total cost of production |
249,120 |
249,120 |
321,780 |
|
Cost per unit |
$ 69.20 |
$ 69.20 |
$ 69.20 |
|
D) |
Selling price = Cost per unit+$21.10 = |
$ 90.30 |
$ 90.30 |
$ 90.30 |
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