[問題] 管會問題

[mijake (see u again!)]

Capital Motor Company makes electric cars and has only two
products, the Gogreen and the Gogreen. To produce the Gogreen, Capital
Motor employed assets of $27,000,000 at the beginning of the period,
and $26,800,000 of assets at the end of the period.
Other costs to manufacture the Gogreen include:

Direct materials $6000 per unit
Setup            $2,600 per setup hour
Production       $830 per machine hour

General administration and selling costs total $14,680,000 for the period.
In the current period, Capital Motor produced 20,000 Gogreen cars
using 12,000 setup hours and 350,400 machine hours. Capital Motor
sld these cars for $24,000 each.

1. Assuming that Capital Motor defines investment as average assets
during the period, what is the return of investment for the Gogreen division?

2. Calculate the residual income for the Gogreen if Capital Motor has a
required rate of return of 14% on investments.

解答如下:但不懂為何所有成本與銷售單價都須除以2呢? 是因為資產採平均法的關係嗎?
而Residual Income的required rate of return為何是12%,是解答錯了嗎?

Sales revenue ($12,000 × 10,000)               $120,000,000
Less:
Direct materials ($3,000 × 10,000)             $(30,000,000)
Setup ($1,300 × 6,000)                          (7,800,000)
Production ($415 × 175,200)                     (72,708,000)
Gross margin                                    $ 9,492,000
Selling and administration                       (7,340,000)
Operating income                                $ 2,152,000


Average invested capital is ($13,500,000 + $13,400,000) ÷ 2 = $13,450,000

Residual income= $2,152,000 (12% × $13,450,000) = $538,000

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