Final answer:
a. The current residual income is $825,000 and the residual income with the new investment opportunity is $975,000. b. The Monarch Division should make the investment as it will increase their residual income.
Step-by-step explanation:
a. The current residual income can be calculated by multiplying the current ROI by the Monarch Division's investment base:
Residual income = Current ROI * Investment base
Residual income = 11%× $7,500,000
Residual income = $825,000
The residual income with the new investment opportunity can be calculated by multiplying the new ROI with the sum of the investment base and the new investment:
Residual income with new investment = New ROI × (Investment base + New investment)
Residual income with new investment = 10.25% × ($7,500,000 + $4,500,000)
Residual income with new investment = $975,000
b. Based on the answers to requirement a, the Monarch Division should make the investment. The new investment opportunity will increase their residual income from $825,000 to $975,000, which is higher than the target ROI of 7%. Therefore, the investment is beneficial for the division.