Northern Defense manufactures radar systems. It has just completed the manufacture of its first newly designed system, RS-32. Manufacturing data for the RS-32 follow: (Click icon to view more data) Read the requirements. Individual unit time for Cumulative total time: Labor-hours Requirement 1. Calculate the total variable costs of producing 2, 3, and 4 units assuming that Northern Defense uses an 85% incremental unit-time learning model as a basis for predicting direct manufacturing labor-hours. Begin by calculating the cumulative total time in labor-hours using the incremental unit-time learning model. (Round the individual unit time for Xth unit to the nearest whole number.) Cumulative number of units Xth unit: Labor-hours Data table 1 2 3 4 3,700 3,700 3,145 6,845 2,860 9,705 Direct materials cost 2,673 12,378 Direct manufacturing labor time for first unit Now calculate the total variable costs of producing 2, 3, and 4 units. Learning curve for manufacturing labor time per radar system Direct manufacturing labor costs $ 89,000 per unit of RS-32 3,700 direct manufacturing labor-hours 85% incremental unit-time" $ Variable costs of producing Variable manufacturing overhead costs 2 Units 3 Units 4 Units Direct materials 178000 267000 356000 Using the formula for an 85% learning curve, b = In 0.85 In 2 0.162519 0.693147 20 per direct manufacturing labor-hour 18 per direct manufacturing labor-hour = -0.234465 Direct manufacturing labor 62900 53460 56610 48114 45440 40896 Variable manufacturing overhead 297510 368574 Total variable costs 442336 Print Done

FINANCIAL ACCOUNTING
10th Edition
ISBN:9781259964947
Author:Libby
Publisher:Libby
Chapter1: Financial Statements And Business Decisions
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Northern Defense manufactures radar systems. It has just completed the manufacture of its first newly designed system, RS-32. Manufacturing data for the RS-32 follow:
(Click icon to view more data)
Read the requirements.
Requirement 1. Calculate the total variable costs of producing 2, 3, and 4 units assuming that Northern Defense uses an 85% incremental unit-time learning model as a basis for predicting direct
manufacturing labor-hours.
Begin by calculating the cumulative total time in labor-hours using the incremental unit-time learning model. (Round the individual unit time for Xth unit to the nearest whole number.)
Cumulative
Cumulative total time:
Individual unit time for
number of units Xth unit: Labor-hours
Labor-hours
Data table
1
2
3,700
3,700
3,145
6,845
3
2,860
9,705
Direct materials cost
$
89,000 per unit of RS-32
4
2,673
12,378
Direct manufacturing labor time for first unit
Now calculate the total variable costs of producing 2, 3, and 4 units.
Variable costs of producing
Learning curve for manufacturing labor time per radar system
Direct manufacturing labor costs
3,700 direct manufacturing labor-hours
85% incremental unit-time
$
20 per direct manufacturing labor-hour
Variable manufacturing overhead costs
$
18 per direct manufacturing labor-hour
2 Units
3 Units
4 Units
Direct materials
178000
267000
Direct manufacturing labor
62900
53460
56610
48114
356000
45440
40896
aUsing the formula for an 85% learning curve, b =
In 0.85
In 2
-0.162519
0.693147
= -0.234465
Variable manufacturing overhead
297510
368574
Total variable costs
442336
Print
Done
Transcribed Image Text:Northern Defense manufactures radar systems. It has just completed the manufacture of its first newly designed system, RS-32. Manufacturing data for the RS-32 follow: (Click icon to view more data) Read the requirements. Requirement 1. Calculate the total variable costs of producing 2, 3, and 4 units assuming that Northern Defense uses an 85% incremental unit-time learning model as a basis for predicting direct manufacturing labor-hours. Begin by calculating the cumulative total time in labor-hours using the incremental unit-time learning model. (Round the individual unit time for Xth unit to the nearest whole number.) Cumulative Cumulative total time: Individual unit time for number of units Xth unit: Labor-hours Labor-hours Data table 1 2 3,700 3,700 3,145 6,845 3 2,860 9,705 Direct materials cost $ 89,000 per unit of RS-32 4 2,673 12,378 Direct manufacturing labor time for first unit Now calculate the total variable costs of producing 2, 3, and 4 units. Variable costs of producing Learning curve for manufacturing labor time per radar system Direct manufacturing labor costs 3,700 direct manufacturing labor-hours 85% incremental unit-time $ 20 per direct manufacturing labor-hour Variable manufacturing overhead costs $ 18 per direct manufacturing labor-hour 2 Units 3 Units 4 Units Direct materials 178000 267000 Direct manufacturing labor 62900 53460 56610 48114 356000 45440 40896 aUsing the formula for an 85% learning curve, b = In 0.85 In 2 -0.162519 0.693147 = -0.234465 Variable manufacturing overhead 297510 368574 Total variable costs 442336 Print Done
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