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(a) A project management consultant estimated that if a particular project was completed, t years after completion, N thousand persons would benefit directly from the project, where t3 N(t) ==- 4.5t2 + 16t, %3D 0

(a) A project management consultant estimated that if a particular project was completed, t years after completion, N thousand persons would benefit directly from the project, where t3 N(t) ==- 4.5t2 + 16t, %3D 0

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) A project management consultant estimated that if a particular project was completed, t years after completion, N thousand persons would benefit directly from the project, where t3 N(t) ==- 4.5t2 + 16t, %3D 0<t< 10 | 3 For what value of t, will the largest number of people receive direct benefits? (b) A clothing manufacturer makes trousers, skirts and blouses. Each trouser requires 20 minutes of cutting time, 60 minutes of sewing time and 5 minutes of packaging time. Each skirt requires 15 minutes of cutting time, 30 minutes of sewing time and 12 minutes of packaging time. Each blouse requires 10 minutes of cutting time, 24 minutes of sewing time and 6 minutes of packaging time. The amount of time available for cutting, sewing and packaging is 115 hours, 280 hours and 65 hours respectively. Using either the Inverse Method or the Cramer's Rule, determine how many of each type of clothing should be made to use all available labour hours? 7.
Transcribed Image Text:(a) A project management consultant estimated that if a particular project was completed, t years after completion, N thousand persons would benefit directly from the project, where t3 N(t) ==- 4.5t2 + 16t, %3D 0<t< 10 | 3 For what value of t, will the largest number of people receive direct benefits? (b) A clothing manufacturer makes trousers, skirts and blouses. Each trouser requires 20 minutes of cutting time, 60 minutes of sewing time and 5 minutes of packaging time. Each skirt requires 15 minutes of cutting time, 30 minutes of sewing time and 12 minutes of packaging time. Each blouse requires 10 minutes of cutting time, 24 minutes of sewing time and 6 minutes of packaging time. The amount of time available for cutting, sewing and packaging is 115 hours, 280 hours and 65 hours respectively. Using either the Inverse Method or the Cramer's Rule, determine how many of each type of clothing should be made to use all available labour hours? 7.
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