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Avg. Arrival Rate 6 Worker Wages $15.00 Truck Wait Rate $120.00 Team Size Avg. Serviced /hr. 1 2.5 2 5 3 7.5 4 9.5 5

Avg. Arrival Rate 6
Worker Wages $15.00
Truck Wait Rate $120.00
Team Size Avg. Serviced /hr.
1 2.5
2 5
3 7.5
4 9.5
5 11
6 12
Forklift + Operator @ $43 15

4. From the model, determine the following:

A. The optimal number of workers unloading the trucks under normal conditions. (Team size)

B. The total cost, the average number of trucks waiting, and the average wait time per truck in minutes with the optimal team.

C. The probability that an arriving truck needs to wait (with the optimal team size).

D. Management wants to add one buffer worker, so the team can still perform if a team member gets sick or schedules vacation. Determine if this is economically feasible. (Economically equivalent is within a dollar for this case.)

E. If management cross-trains its dock workers and is able to fully utilize their time when not loading/unloading the trucks, then determine the new optimal team size.

F. If the option of using paying for a forklift and driver makes economic sense and the savings over the next best solution. (Examine in terms of the legacy environment and when 100% utilization of staff is possible, where idle staff is redeployed elsewhere, so labor costs are shared in proportion to utilization.)

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