MathDB

18

Part of 2013 Stanford Mathematics Tournament

Problems(1)

2013 General Problem 18

Source:

2/4/2013
Caroline wants to plant 10 trees in her orchard. Planting nn apple trees requires n2n^2 square meters, planting nn apricot trees requires 5n5n square meters, and planting nn plum trees requires n3n^3 square meters. If she is committed to growing only apple, apricot, and plum trees, what is the least amount of space in square meters, that her garden will take up?