Project management is important but complex in the automotive industry because of various constraints such as tight project schedules, elaborate supply chains, and limited resources. This work proposes to use Operations Research (OR) methods, such as Linear Programming (LP) and Critical Path Method (CPM), to improve on project scheduling and resource allocation of time and effort in automotive engineering projects. Using a case study of a mid-sized automotive manufacturing project, the tasks of the project and their dependencies, durations, and resource dependencies were modeled to reschedule tasks and eliminate bottlenecks in delivering the project. Analytical and simulation findings of the study indicated that applying OR for project scheduling offered approximately a 15% reduction in project completion time, improved resource utilization, and increased project efficiency. The study exhibited what can happen when decision-making based on data is embraced into engineering management practices, and could provide value to automotive project managers. Also, the application of this framework can be adapted to other industrial engineering projects that require complex scheduling and management of limited productivity resources.