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A manufacturing company makes door hinges. The cost function for making a hinges per hour is C(x) = 0.0007x³ – 0.1796x² +14.663x+160 dollars where 50

A manufacturing company makes door hinges. The cost function for making a hinges per hour is C(x) = 0.0007x³ – 0.1796x² +14.663x+160 dollars where 50

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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A manufacturing company makes door hinges. The cost function for making x hinges per hour is C(x) = 0.0007x³ – 0.1796x² +14.663x+160 dollars where 50 < x < 150. The condition 50 < x < 150 applies as the company has a standing order filled by producing 50 each hour, but knows that production of more than 150 an hour is useless as they will not sell. Find the minimum and maximum hourly costs and the production levels when each occurs.
Transcribed Image Text:A manufacturing company makes door hinges. The cost function for making x hinges per hour is C(x) = 0.0007x³ – 0.1796x² +14.663x+160 dollars where 50 < x < 150. The condition 50 < x < 150 applies as the company has a standing order filled by producing 50 each hour, but knows that production of more than 150 an hour is useless as they will not sell. Find the minimum and maximum hourly costs and the production levels when each occurs.
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