Now the company spins off its R&D department and sets up a subsidiary in Bahamas. The subsidiary will conduct the research and document work and the parent will pay property fees to acquire the service. The R&D department in Bahamas will use the same overhead allocation rate as in the parent company. The property fees paid will be recognized as part of the costs of service of the parent company. The corporate tax rate in Bahamas is $5\%.$

e$.(2$ points$)$ Assume the corporate revenue is still $2$ million dollars. Suppose that property fees are equal to $150\%$ of the total costs of $R$&$D$ service department as calculated in part a$.$ Compute the taxes for the parent and subsidiary, respectively.

f$.(1$ point$)$ Compared to the total taxes you calculated for part d$,$ why do we have different tax liabilities in this case?