Answer:
Kindly check the explanation section.
Step-by-step explanation:
The direct labour were budget to be four quarters, so let us take each quarters one after the other.
FIRST QUARTER:
=> Budgeted direct labour hours = 8000.
=> Variable overhead rate = 3.25.
=> Variable manufacturing overhead = 8000 × 3.25 = 26,000.
=> Fixed manufacturing overhead= $48,000.
=> Total manufacturing overhead= 26000 + 48000 = 76,000.
=> Depreciation = 16,000.
=> Cash disbursement for manufacturing overhead = 76,000 - 16000= $ 58,000.
SECOND QUARTER:
=> Budgeted direct labour hours = 8200.
=> Variable overhead rate = 3.25.
=> Variable manufacturing overhead = 8200 × 3.25 = 26,650.
=> Fixed manufacturing overhead= $48,000.
=> Total manufacturing overhead= 26650 + 48000 = 74,650.
=> Depreciation = 16,000.
=> Cash disbursement for manufacturing overhead = 74,650 - 16000= $ 58,650.
THIRD QUARTER:
=> Budgeted direct labour hours = 8500.
=> Variable overhead rate = 3.25.
=> Variable manufacturing overhead = 8500 × 3.25 = 27,625.
=> Fixed manufacturing overhead= $48,000.
=> Total manufacturing overhead= 27625 + 48000 = 76,625.
=> Depreciation = 16,000.
=> Cash disbursement for manufacturing overhead = 76,625 - 16000= $ 59,625.
FOURTH QUARTER:
=> Budgeted direct labour hours = 7800.
=> Variable overhead rate = 3.25.
=> Variable manufacturing overhead = 7800 × 3.25 = 23,350.
=> Fixed manufacturing overhead= $48,000.
=> Total manufacturing overhead= 23,350 + 48000 = 73,350.
=> Depreciation = 16,000.
=> Cash disbursement for manufacturing overhead = 73,350 - 16000= $ 57,350.
For the four quarters;
(1). the total Budgeted direct labour hours= 32,500.
(2).the total Variable manufacturing overhead= 105,625.
(3). The total Fixed manufacturing overhead = 192000.
(4). The Total manufacturing overhead = 297,625.
(5). The total less depreciation = 64,000.
(6). The total Cash disbursement for manufacturing overhead = $233,625.
=> Also, the total Budgeted manufacturing overhead (fixed and variable) = 105,625 + 192,000 = 297,625.
=> total Budgeted direct labour hours= 32,500
Therefore, manufacturing overhead rate = 297,625/ 32,500 = $9.16.