Explanation Given information: An apple tree produces, on average, 400 kg of fruit each season. If more than 200 trees are planted per square kilometre, crowding reduces the yield by 1 kg for each tree over 200. Calculation: The total yield, y, as function is given by y = { 400 n , n ≤ 200 n [ 400 − ( n − 200 ) ] , n > 200 = { 400 n , n ≤ 200 n [ 400 − n + 200 ] , n > 200 To determine (b) To find: The number of tress the farmer should plant on each square kilometre to maximize the yield.

Applied Calculus, 6e WileyPLUS + Loose-leaf

6th Edition

ISBN: 9781119408901

Author: Deborah Hughes-Hallett, Andrew M. Gleason, Patti Frazer Lock, Daniel E. Flath

Publisher: Wiley (WileyPLUS Products)

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Question

Chapter 4.3, Problem 52P

To determine

(a)

To express and graph:

The total yield, y, from one square kilometre as a function of the number of trees.

To determine

(b)

To find:

The number of tress the farmer should plant on each square kilometre to maximize the yield.

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Chapter 4.3, Problem 51P

Chapter 4.3, Problem 53P

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Applied Calculus, 6e WileyPLUS + Loose-leaf

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(a) To express and graph: The total yield, y, from one square kilometre as a function of the number of trees.

Solution Summary: The author calculates the total yield, y, from one square kilometre as a function of the number of trees.