Final answer:
In an e-commerce system, the software component is responsible for the user interface, enabling customer interactions such as browsing and ordering, and integrates human-software interactions.
Step-by-step explanation:
In an e-commerce system, the part responsible for the user interface that facilitates customer browsing and ordering is the software. The user interface is critical as it represents the point of contact between the e-commerce system and its users, providing the visuals and interactive elements that allow customers to view products, make selections, and complete purchases. This encompasses the design level in computer systems thinking, where, from the programmer's perspective, the machine is running a program to provide these services. It integrates human-software interactions, aiding the decision-making processes of customers as they interact with the automated system. It is essential that this software component is designed with the user experience in mind to ensure smooth navigation and ordering processes.