a. | Single plant wide rate=Total overhead cost of the two departments/Total direct labor cost of the two departments | ||||||||
Total overhead cost=967800+475500=$ 1443300 | |||||||||
XL-D | XL-C | Total | |||||||
Units produced | a | 100000 | 25000 | ||||||
Direct labor-hours per unit- Production | b | 0.1 | 0.1 | ||||||
Direct labor-hours per unit- Assembly | c | 0.4 | 0.4 | ||||||
Total direct labor-hours per unit | d=b+c | 0.5 | 0.5 | ||||||
Total direct labor-hours | e=a*d | 50000 | 12500 | 62500 | |||||
Direct labor rate per hour | f | 16.5 | 16.5 | ||||||
Total direct labor cost | g=e*f | 825000 | 206250 | 1031250 | |||||
Single plant wide rate=1443300/1031250=$ 1.40 per direct labor cost | |||||||||
Product cost: | |||||||||
XL-D | XL-C | ||||||||
Raw material | 11.3 | 13.3 | |||||||
Direct labor-Production | 1.65 | 1.65 | |||||||
(0.1*16.5) | (0.1*16.5) | ||||||||
Direct labor-Assembly | 6.6 | 6.6 | |||||||
(0.4*16.5) | 8.25 | (0.4*16.5) | 8.25 | ||||||
Overhead | 11.55 | 11.55 | |||||||
(8.25*1.40) | (8.25*1.40) | ||||||||
Total | 31.1 | 33.1 | |||||||
b. | Overhead allocation rates; | ||||||||
Production | Assembly | ||||||||
Total overhead cost | a | 967800 | 475500 | ||||||
Total Machine hours | (Note:1) | b | 250000 | ||||||
Total Labor hours | (Note:2) | 62500 | |||||||
Overhead allocation rate | a/b | 3.87 | 7.61 | ||||||
Note:1 | |||||||||
Total Machine hours | |||||||||
XL-D | XL-C | Total | |||||||
Units produced | a | 100000 | 25000 | ||||||
Machine hours per unit-production | b | 1.6 | 1.6 | ||||||
Machine hours per unit-assembly | c | 0.4 | 0.4 | ||||||
Total machine hours per unit | d=b+c | 2 | 2 | 4 | |||||
Total Machine hours | e=a*d | 200000 | 50000 | 250000 | |||||
Note:2 | |||||||||
Total labor hours | |||||||||
XL-D | XL-C | Total | |||||||
Units produced | a | 100000 | 25000 | ||||||
Direct labor hours per unit-production | b | 0.1 | 0.1 | ||||||
Direct labor hours per unit-assembly | c | 0.4 | 0.4 | ||||||
Total direct labor hours per unit | d=b+c | 0.5 | 0.5 | 1 | |||||
Total direct labor hours | e=a*d | 50000 | 12500 | 62500 | |||||
Product cost: | |||||||||
XL-D | XL-C | ||||||||
Raw material | 11.3 | 13.3 | |||||||
Direct labor-Production | 1.65 | 1.65 | |||||||
(0.1*16.5) | (0.1*16.5) | ||||||||
Direct labor-Assembly | 6.6 | 6.6 | |||||||
(0.4*16.5) | 8.25 | (0.4*16.5) | 8.25 | ||||||
Overhead | 15.48 | 7.61 | |||||||
(Total machine hours per unit*Overhead allocation rate) | (4*3.87) | ||||||||
(Total direct labor hours per unit*Overhead allocation rate) | (1*7.61) | ||||||||
Total | 35.03 | 29.16 | |||||||
d. | Activity rates for production department: | ||||||||
Overhead item | $ | Driver | $ | Activity rate | |||||
a | b | a/b | |||||||
Supervision | 93000 | Direct labor-hours | 62500 | 1.49 | Per direct labor hour | ||||
Material handling | 89500 | Material cost | 1462500 | 0.06 | Per material cost | ||||
(Note:3) | |||||||||
Testing | 143000 | Testing hours | 375000 | 0.38 | Per Testing hour | ||||
(Note:4) | |||||||||
Wastewater treatment | 243000 | Wastewater generated | 1000000 | 0.24 | Per wastewater generated | ||||
(Note:5) | |||||||||
Depreciation on equipment | 393000 | Machine-hours | 250000 | 1.57 | Per machine hour | ||||
Shipping | 6300 | Weight | 140000 | 0.05 | Per weight | ||||
(Note:6) |
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