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31. An agricultural school wants to determine the number of corn plants per acre that will produce the maximum yield. The model y(n) = -0.103n2 + 8.32n + 15.1 represents the yield y(n) (in bushels per acre) based on n thousand plants per acre. a. Evaluate y(20), y(30), and y(60) and interpret their meaning in the context of this problem. b. Determine the number of plants per acre that will maximize yield. Round to the nearest hundred plants. c. What is the maximum yield? Round to the nearest bushel per acre.

31. An agricultural school wants to determine the number of corn plants per acre that will produce the maximum yield. The model y(n) = -0.103n2 + 8.32n + 15.1 represents the yield y(n) (in bushels per acre) based on n thousand plants per acre. a. Evaluate y(20), y(30), and y(60) and interpret their meaning in the context of this problem. b. Determine the number of plants per acre that will maximize yield. Round to the nearest hundred plants. c. What is the maximum yield? Round to the nearest bushel per acre.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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31. An agricultural school wants to determine the number of corn plants per acre that will produce the maximum yield. The model y(n) = -0.103n2 + 8.32n + 15.1 represents the yield y(n) (in bushels per acre) based on n thousand plants per acre. a. Evaluate y(20), y(30), and y(60) and interpret their meaning in the context of this problem. b. Determine the number of plants per acre that will maximize yield. Round to the nearest hundred plants. c. What is the maximum yield? Round to the nearest bushel per acre.
Transcribed Image Text:31. An agricultural school wants to determine the number of corn plants per acre that will produce the maximum yield. The model y(n) = -0.103n2 + 8.32n + 15.1 represents the yield y(n) (in bushels per acre) based on n thousand plants per acre. a. Evaluate y(20), y(30), and y(60) and interpret their meaning in the context of this problem. b. Determine the number of plants per acre that will maximize yield. Round to the nearest hundred plants. c. What is the maximum yield? Round to the nearest bushel per acre.
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