12. A toy factory is trying out two different production methods. The rate of production (in toys per hour) for Method A can be modeled by A(t) = -2x² + 22x + 19 and Method B can be modeled by B (t) = 8 sin(t) + 60 where t is the number of hours since the factory opened. Which method produces the most toys in the first ten hours? Show your work. Round answers to the nearest whole number.

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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12. A toy factory is trying out two different production methods. The rate of production
(in toys per hour) for Method A can be modeled by A(t) = -2x² + 22x + 19 and
Method B can be modeled by B (t) = 8 sin(t) + 60 where t is the number of hours
since the factory opened. Which method produces the most toys in the first ten hours?
Show your work. Round answers to the nearest whole number.
Transcribed Image Text:12. A toy factory is trying out two different production methods. The rate of production (in toys per hour) for Method A can be modeled by A(t) = -2x² + 22x + 19 and Method B can be modeled by B (t) = 8 sin(t) + 60 where t is the number of hours since the factory opened. Which method produces the most toys in the first ten hours? Show your work. Round answers to the nearest whole number.
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