Final answer:
Autocratic leadership would be the most effective during the management of the code.
Step-by-step explanation:
The most effective leadership style during the management of a code blue in the emergency department for a client in hypovolemic shock and hemorrhaging profusely would be autocratic leadership. Autocratic leaders issue orders and assign tasks, which can help ensure immediate and decisive action is taken in a time-sensitive and critical situation like this. While democratic leadership may encourage group participation in decision-making, it can be too time-consuming in an emergency situation where prompt and coordinated action is required.