The initial steps that the business analyst should take to help determine why the order management and fulfillment process is slow are:
Work with stakeholders to identify relevant processes, such as order placement, order confirmation, order processing, order shipping, order tracking, etc.
Select a key process with defined start and end points, such as order processing, which involves verifying customer information, checking inventory availability, allocating products, generating invoices, etc.
Collaborate with process owners and users to create a current state process map, which shows how the order processing process is currently performed in Salesforce, what steps or activities are involved, what inputs or outputs are used or produced, what decisions are made, what roles or systems are interacted with, etc.
These steps help to establish a baseline for measuring the current state of performance, identify pain points and opportunities for improvement, and align with the desired business outcomes. References:
https://trailhead.salesforce.com/content/learn/modules/salesforce-business-analyst-certification-prep/business-pro