Imagine that you are teaching an american cultural component of an esl (english as a second language) course. you have a list of 3k people who are famous enough for your students to recognize (eg barak obama, george clooney, abraham lincoln, elvis presley, angelina jolie, john kennedy, tom cruise, ghandi, beyonce, you also have a k concepts for which you want to give examples (eg male, female, rich, tall, dead, president, singer, each person matches some of the categories (eg tom cruise is a rich, male, actor) and doesn't match others (eg tom cruise is not female, not tall, and not dead). you want to give three examples of each concept, but you do not want to use any of the people for more than one concept (eg if you use tom cruise as an example of a rich person then you do not want to also use him as an example of a actor). clearly describe an algorithm to determine whether (and how) you can give 3 examples of each concept without repeating any of the people.

Ashielded metal arc-welding operation is accomplished in a work cell by a fitter and a welder. the fitter takes 5.5 min to load components into the welding fixture at the beginning of the work cycle, and 1.5 min to unload the completed weldment at the end of the cycle. the total ength of the weld seams 1200 mm, and the travel speed used by the welder averages 300 mm/min. every 600 mm of seam length, the welding stick must be changed, which takes 0.8 min. while the fitter is working, the welder is idle (resting): and while the welder is working the fitter is idle. (a) determine the average arc-on time as a fraction of the work cycle time. (b) how much improvement in arc-on time would result if the welder used flux-cored arc welding (manually operated), given that the spool of weld wire must be changed every 10 weldments, and it takes the welder 5.0 min to accomplish the change? (c) what are the production rates for these two cases (weldments completed per hour)? attach your work and solutions.