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Math problem

case math
New answer on Nov 30, 2021
6 Answers
705 Views
Anonymous A asked on Oct 05, 2021

The client is considering a triage strategy that would allocate greater resources to the ER automatically when more than 35 patients are admitted in under an hour. They expect this to reduce wait times from an average of 100 minutes to an average of 60 minutes for the 20% of patients affected. If the hospital receives an average of around 700 patients per day, how many total patient-minutes of wait time will be saved by this policy?

Answer: 5600 patient minutes.

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Pedro
Expert
replied on Oct 05, 2021
30% off in April 2024 | Bain | EY-Parthenon | Roland Berger | Market Sizing | DARDEN MBA

Minutes saved: 100-60 = 40

Patients impacted: 20% * 700 = 140

Patient minutes = 40 * 140 = 5600.

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Hagen
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updated an answer on Oct 05, 2021
#1 Bain coach | >95% success rate | interviewer for 8+ years | mentor and coach for 7+ years

Hi there,

This is indeed an interesting, very specific question, so I am happy to provide my perspective on it:

  • Contradictory to what other coaches said, this is a classical operational excellence question/ calculation. Thus, you would need to calculate the time savings for the affected (share of the) population.
  • As pointed out below, you would have 40 minutes (100 minutes - 60 minutes) time savings per patient affected. The patients affected are 20% out of 700, thus 140. (700 * 20% * (100 min - 60 min)

In case you want a more detailed discussion on the whole case study and what the ideal approach would be, please feel free to contact me directly.

I hope this helps,

Hagen

(edited)

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Anonymous A on Oct 05, 2021

how do we know that the patients affected are 20% of 700? Since it says this triage strategy is applied only when patients admitted ? 35 per hour, shouldn't we scale the 700 patients per day to patients per hour by looking at the operating hours of the ER?

Agrim
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Content Creator
updated an answer on Oct 07, 2021
BCG Dubai Project Leader | Learn to think like a Consultant | Free personalised prep plan | 6+ years in Consulting

Lay things out simply in a Table - that helps a lot!

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(edited)

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Ian
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replied on Oct 05, 2021
#1 BCG coach | MBB | Tier 2 | Digital, Tech, Platinion | 100% personal success rate (8/8) | 95% candidate success rate
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Anonymous B replied on Oct 05, 2021

700*20%*(100-60)

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Marco-Alexander
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Content Creator
updated an answer on Nov 30, 2021
Former BCG | Case author for efellows book | Experience in 6 consultancies (Stern Stewart, Capgemini, KPMG, VW Con., Hor

(edited)

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Pedro gave the best answer

Pedro

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