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TSA 2015 · Question 48 · Rates

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Deliveries of containers for a fast-food takeaway are made only four times per year, at the beginning of January, April, July and October. Last year the takeaway over-ordered containers and currently has 2,000 left. The number of containers used per month varies, but is no more than 3,000 and no fewer than 1,000. The maximum number that can be delivered at one time is 6,000. The usage for last year is illustrated below.

Question diagram

Assuming the same usage this year, how many containers need to be delivered each quarter (in January, April, July and October) in order for over-ordering to be minimised?