Final answer:
The employee would benefit from a Stress Management Program to cope with the stress of having a terminally ill child, accompanied by supportive measures that promote work-life balance and flexible working schedules.
Step-by-step explanation:
An employee experiencing emotional outbursts and needing to leave work early due to a terminally ill child could most benefit from a Stress Management Program. This program can help address the psychological strain and intense emotions the employee is likely enduring. Supportive measures like work-life balance strategies and flexible working arrangements, such as telecommuting, flextime, and understanding from supervisors, can also be instrumental in reducing work-family conflict and employee stress, leading to improved employee well-being.
Considering the severe impact a terminally ill family member can have, strategies such as problem-focused coping and the utilization of organizational benefits can play a critical role in supporting the employee. Moreover, a focus on mental health and burnout prevention through organizational support is crucial, as chronic work-related stress can lead to job burnout, characterized by emotional exhaustion, depersonalization, and diminished personal accomplishment.