The ABC Company is looking ahead to next week’s production. The plant will operate for 45 hours. Three jobs are scheduled for the operation at a workstation. The first will utilize the workstation 30% of the time; the second will utilize the workstation 25% of the time. The third job has not had the utilization time calculated, but it will take two hours to set up the workstation and six hours to complete the operation. A fourth job is received, and it will take three hours to set up and seven hours to complete. (200 POINTS)
a. Calculate whether the fourth job can be completed during the week. Explain your answer.
b. What is the total utilization rate, including the fourth job? Explain your answer.