Answer:
Both Sanders and Carolina will accept the decision to invest in the new cosmetic line.
Explanation:
As it is already mentioned in the question above that the company is decentralized and leaves the investments decision on the divisional managers, and it is evident that Sanders is already doing good for the company as he has been able to generate a return on investment of 14% for the past three years even if the minimum required rate is only 8%. So, we know that Sanders is doing well.
Now about the new cosmetic line, the expected return is 12%, which is again more than the minimum required rate of return i.e 8%.
Hence, both Sanders and Carolina will agree to move ahead with the investment decision towards the new cosmetic line as it will generate good profits.
Thank You.
Goodluck.