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  • Slide: 1
  • Nurse Chi, this new vaccine has really tight prep window. We need to be efficient. Let's say I can do 10 doses in 15 mins, you do 10 in 20 mins. Together for 50 doses? What do you think?
  • Okay, for those 5 minutes, our combined rate would be 2/3 + 1/2 = 7/6 doses per min. Time for 50 doses: 50/(7/6) = 43 minutes.
  • Slide: 2
  • That's good to know! But what if you get pulled away for a few minutes, and your rate temporarily drops? Let's say for 5 mins, your rate goes down to 1/4 doses per minute. How would that affect our total time for those 50 doses?
  • So, we can get 50 doses ready in about 43 minuets working together.
  • Okay, so for 5 mins, our combined rate would be 2/3 + 1/4 = 8/12 + 3/12 = 11/12 doses per minute. Slower rate for 5 mins: 5 x (2/3+1/4) = 55/12 doses done. Remaining is 545/12 doses. Time at normal combined rate is 39 mins. Total time is 44 mins.
  • Slide: 3
  • That's right! And what if we get a rush of patients, and we need to prepare at least 80 doses within an hour (60 mins)? What inequality could we see what our minimum combined rate needs to be?
  • So, a small slowdown does add a little bit of time.
  • We want the number of doses to be greater than or equal to 80 when the time is 60 minutes.
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