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you have many homework assignments to submit throughout the semester. You can work 100 days in...

you have many homework assignments to submit throughout the semester. You can work 100 days in a semester. Assume all homework have exactly the same format. Each homework consists of task 1, taking 4 days, task 2 takes 2 days to solve. and task 3 takes 2 days to solve.
Part a : if you decide to form a team of 3 students how many homeworks can you submit a semester?
part b: if you work in a group of 2 students using the minimum possible cycle time in this situation, what is the percentage of the idle time?
part c: suppose you are in a team of 2 students what is the minimum possible cycle time
business   Operations-Management   
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Homework Answers

Answer #1

a)

Condition Days
Person 1& 2 do task 1 together 2
3 does task 2 at that same time 2
All 3 persons do task 3 after completion of above two tasks 0.67
So it takes 2.67 days to complete 1 homework
For 100 days 37.35

So, 37.35 homeworks in 100 days. Rounding off - 37 Homeworks when 3 students work together

b) There would be 0 % of idle time as in 2 days they would complete task 1 and take another 2 days for tasks 2 and 3

c) Minimum possible cycle time will be 4 days for 1 homework which equals to 100/4 = 25 homeworks

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