Please Answer Questions 4-6

1. (Assignment problem, see Ex. 3.5 video for help) The number of hours to complete the task listed on the row by the worker shown in the column is given in the table below. For example, worker 1 would take 49 hours to complete task D if assigned. The goal is to assign persons so that the total of all person hours involved is a minimum. If a person can only be assigned to one task, which worker is assigned task C? (provide number only!) 1 2 3 4 5 5 6 6 10 16 Worker Task A B D 21 45 49 12 20 46 20 36 44 32 46 E 11 45 12 24 8 6 F 30 38 2. What is the number of person hours to complete all the tasks based on the lowest value from analysis in 1 above? 3. For situation 1 given, conduct the same analysis to find assignment of workers so that minimum number of person hours is met but under the relaxed condition that workers can take on no more than 2 tasks and some will have no assignment of tasks on the project. What is the total number of person hours to complete all the tasks based on the lowest value? 4. For the question and analysis in question 3, how many workers are assigned 2 tasks? 5. What is the time to complete the 14th repetition of a task if the learning rate is 92% and the first time the task took 10 hours 15 minutes to complete? Provide answer in decimal fractional hours with 2 significant digits after decimal point. 6. What is the cumulative time to complete 25 repetitions of a task if the learning rate is 91% and the first time the task was completed took 3.5 hours? Provide answer in decimal fractional hours with 2 significant digits after decimal point