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TSA 2010 · Question 18 · Optimisation

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I have been asked to move 120 boxes weighing 25kg each and 90 boxes weighing 20kg each from the ground floor to the fifth floor of the office block in which I work. Unfortunately, nobody is available to give me any help. There is a sign in the lift which reads:

Question diagram

I weigh 80kg. What is the minimum number of journeys I will have to make from the ground floor to the fifth floor?