Answer:
North West South
Contribution margin $300,300 $499,000 $399,200
Controllable margin $139,700 $360,600 $209,900
Average operating assets $997,857 $1,567,826 $1,499,286
Minimum rate of return 13% 14% 9%
return on investment (ROI) = controllable margin / average operating assets
North's ROI = $139,700 / $997,857 = 14%
West's ROI = $360,600 / $1,567,826 = 23%
South's ROI = $209,900 / $1,499,286 = 14%
residual income = controllable margin - (average operating assets x minimum rate of return)
North's RI = $139,700 - ($997,857 x 13%) = $9,978.59
West's RI = $360,600 - ($1,567,826 x 14%) = $141,104.36
South's RI = $209,900 - ($1,499,286 x 9%) = $74,964.26
(1) If ROI is used to measure performance, which division or divisions will probably make the additional investment?
North and South divisions should probably make the additional investments since their current ROI is less than 16%
(2) If residual income is used to measure performance, which division or divisions will probably make the additional investment?
All the divisions since their minimum required rate of return is less than 16%.
