Answer:
B. Accept X and reject Y
Step-by-step explanation:
Here are the options
A. Accept both X and Y
B. Accept X and reject Y
C. Reject X and accept Y
D. Reject both X and Y
E. The answer cannot be determined based on the information provided
the project should be accepted if the WACC of the department is less than the rate of return on the project
WACC = weight of equity x cost of equity + weight of debt x after tax cost of debt
weight of debt = D / (D + E) = 0.45E /1.45E
weight of equity = E / (D + E) = E / 1.45E
WACC = ( 0.45E /1.45E) x (5.1) + ( E / 1.45E) x 14.7
= 5.1 x (0.45/1.45) + 14.7 x (1/1.45)
=1.583 + 10.138
11.72%
Division X's WACC = 11.72% - 0.5% = 11.22%
Division Y's WACC = 11.72% + 1% = 12.72%
The rate of return of Division Y's project is 12.3%. Thus, division Y's project should not be accepted
the rate of return of Division X's project is 11.64%. Thus, division X's project should be accepted