Cost center in the Reservation created in MO

Dear PM Expert and Gurus,

Currently the Notification created with the cost center 100 and the equipment used assigned under cost center 100. A material is created in MO and generated a reservation. However the cost center field in the reservation is empty.

Question is can the cost center being copied to the reservation's cost center field?

On the other hand, when posted goods issue for the reservation, why the profit center is not following the cost center as assigned.

Thank you

Regards

Leonard Tan