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A Tasmanian orchardist notices that an apple tree will produce 300 apples per year if 16 trees are planted in every standard-sized field. For every additional tree planted in the standard-sized field, she finds that the yield per tree decreases by 10 apples per year.
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a) If she plants an additional x trees in every standard-sized field, show that the total number of apples produced will be N = -10x^2+140x+4800 b) How many trees should be planted in each field in order to maximise the number of apples that are produced?
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