Final answer:
The residual income for the investment center is (a) $450,000.
Step-by-step explanation:
The question is asking us to compute the residual income for the investment center. Residual income is a measure of how well the center is performing relative to its average assets. It is calculated by subtracting the required return on assets from the center's income.
The required return is calculated by multiplying the center's average assets by the cost of capital. Let's calculate the residual income for each investment center:
Cameras: Residual Income = $4,750,000 - ($23,300,000 imes 0.1) = $4,750,000 - $2,330,000 = $2,420,000
Phones: Residual Income = $2,870,000 - ($20,500,000 imes 0.1) = $2,870,000 - $2,050,000 = $820,000
Computers: Residual Income = $1,100,000 - ($17,800,000 imes 0.1) = $1,100,000 - $1,780,000 = ($680,000)
Therefore, the residual income for the investment center is:
(a) $450,000