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Northern DefenseNorthern 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:

Northern DefenseNorthern 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:

Direct material cost

$ 87 comma 000$87,000

per unit of RS-32

Direct manufacturing labor time for first unit

3 comma 4003,400

direct manufacturing labor-hours

Learning curve for manufacturing labor time per radar system

8585%

cumulative average

timeSuperscript aa

Direct manufacturing labor cost

$2222

per direct manufacturing labor-hour

Variable manufacturing overhead cost

$1515

per direct manufacturing labor-hour

Superscript aaUsing

the formula for an

8585%

learning curve, b = StartFraction ln 0.85 Over ln 2 EndFraction equals StartFraction negative 0.162519 Over 0.693147 EndFraction equals negative 0.234465

Requirement

Calculate the total variable costs of producing 2, 4, and 8 units.

Begin by calculating the total cumulative time in labor-hours. (Round the cumulative average time per unit to the nearest whole number.)

Number of

Cumulative average time

Cumulative total time:

units

per unit: Labor-hours

Labor-hours

2

4

8

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