The project manager should first assess the impact of the layoff on the project objectives, scope, schedule, cost, quality, and risk. The project sponsor is the person who provides the resources and support for the project and is accountable for enabling success1. Therefore, the project manager should request a meeting with the project sponsor to discuss the viability of the project and determine the next actions, such as revising the project plan, securing additional resources, or terminating the project. This is the best option among the given choices.
Option B is not the best answer because the project manager should not discuss trade-offs with the customer without consulting the project sponsor first. The project sponsor is the one who authorizes any changes to the project scope or quality1.
Option C is not the best answer because the project manager should not request a meeting with the finance department to increase the budget without consulting the project sponsor first. The project sponsor is the one who approves the project budget and any changes to it1.
Option D is not the best answer because the project manager should not request a meeting with the HR department and demand they find a solution to retain the project team members. This is not a realistic or respectful way to handle the situation. The project manager should work with the project sponsor and the HR department to find the best possible solution for the project and the affected team members2. References: 1: PMBOK Guide, 7th Edition, Section 4.1.2, Project Sponsor Role and Responsibilities 2: PMBOK Guide, 7th Edition, Section 9.1.3, Develop Team: Tools and Techniques