Final answer:
Managing the relationships with the growers is a critically important task as a logistic manager at a major coffee producer's global headquarters.
Step-by-step explanation:
As the logistic manager at a major coffee producer's global headquarters, a critically important task to complete would be to manage the relationships with the growers. This involves establishing and maintaining strong partnerships with the coffee growers to ensure a consistent and high-quality supply of coffee beans. By managing these relationships effectively, the logistic manager can ensure a smooth flow of coffee beans from the growers to the production facilities and eventually to the consumers.