Solve for 5.9 and 5.11

5.9. A work center consisting of 3 machines operates 40 hours a week. In a 4-week period, it actually worked 355 hours and produced 475 standard hours of work. Cal- culate the utilization and efficiency of the work center. What is the demonstrated weekly capacity of the work center? 5.10. A firm wishes to determine the efficiency and utilization of a work center composed of 3 machines each working 16 hours per day for 5 days a week. A study undertaken by the materials management department found that over the past year the work center was available for work 12,000 hours, work was actually being done for 10,000 hours, and work was performed 11,480 standard hours. Calculate the utilization, efficiency, and demonstrated weekly capacity. Assume a 50-week year. 5.11. How many standard hours are needed to run an order of 200 pieces if the setup time is 1.3 hours and the run time 0.3 hours per piece? How many actual hours are needed at the work center if the efficiency is 130% and the utilization is 70%? Answer. 61.3 standard hours; 67.4 actual hours